Rabinowitz, Paul H.
Overview
Works:  90 works in 316 publications in 2 languages and 2,583 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor, Other 
Classifications:  QA297, 519.4 
Publication Timeline
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Most widely held works about
Paul H Rabinowitz
 Oral history interview with William R. Bennett by William Ralph Bennett( )
Most widely held works by
Paul H Rabinowitz
Applications of bifurcation theory : proceedings of an advanced seminar by
Paul H Rabinowitz(
Book
)
28 editions published between 1976 and 1977 in English and Undetermined and held by 426 WorldCat member libraries worldwide
The papers discuss bifurcation problems in such areas as elasticity theory, fluid dynamics, geophysics, astrophysics, meteorology, statistical mechanics, and chemical kinetics. There are also two papers of a more mathematical nature: the volume begins with a discussion of analytical methods for bifurcation problems and concludes with a paper on numerical approaches to bifurcation questions
28 editions published between 1976 and 1977 in English and Undetermined and held by 426 WorldCat member libraries worldwide
The papers discuss bifurcation problems in such areas as elasticity theory, fluid dynamics, geophysics, astrophysics, meteorology, statistical mechanics, and chemical kinetics. There are also two papers of a more mathematical nature: the volume begins with a discussion of analytical methods for bifurcation problems and concludes with a paper on numerical approaches to bifurcation questions
Minimax methods in critical point theory with applications to differential equations by
Paul H Rabinowitz(
Book
)
21 editions published between 1986 and 1992 in English and Undetermined and held by 391 WorldCat member libraries worldwide
21 editions published between 1986 and 1992 in English and Undetermined and held by 391 WorldCat member libraries worldwide
Directions in partial differential equations by
Michael G Crandall(
Book
)
10 editions published in 1987 in English and Undetermined and held by 239 WorldCat member libraries worldwide
Directions in Partial Differential Equations
10 editions published in 1987 in English and Undetermined and held by 239 WorldCat member libraries worldwide
Directions in Partial Differential Equations
Analysis, et cetera : research papers published in honor of Jürgen Moser's 60th birthday by Jürgen Moser(
Book
)
14 editions published between 1990 and 2014 in English and held by 238 WorldCat member libraries worldwide
Analysis, et Cetera
14 editions published between 1990 and 2014 in English and held by 238 WorldCat member libraries worldwide
Analysis, et Cetera
Functional analysis by
Laurent Schwartz(
Book
)
4 editions published in 1964 in English and held by 230 WorldCat member libraries worldwide
4 editions published in 1964 in English and held by 230 WorldCat member libraries worldwide
Periodic solutions of Hamiltonian systems and related topics by
Paul H Rabinowitz(
Book
)
18 editions published between 1986 and 1987 in English and held by 183 WorldCat member libraries worldwide
This volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 1317, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials
18 editions published between 1986 and 1987 in English and held by 183 WorldCat member libraries worldwide
This volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 1317, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials
Extensions of MoserBangert theory : locally minimal solutions by
Paul H Rabinowitz(
Book
)
21 editions published in 2011 in English and held by 75 WorldCat member libraries worldwide
"With the goal of establishing a version for partial differential equations (PDEs) of the AubryMather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an AllenCahn PDE model of phase transitions."Page 4 of cover
21 editions published in 2011 in English and held by 75 WorldCat member libraries worldwide
"With the goal of establishing a version for partial differential equations (PDEs) of the AubryMather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an AllenCahn PDE model of phase transitions."Page 4 of cover
Topological methods in bifurcation theory by
Kazimierz Gęba(
Book
)
12 editions published in 1985 in 3 languages and held by 34 WorldCat member libraries worldwide
12 editions published in 1985 in 3 languages and held by 34 WorldCat member libraries worldwide
Periodic solutions of Hamiltonian systems : a survey by
Paul H Rabinowitz(
Book
)
13 editions published between 1977 and 1984 in English and held by 16 WorldCat member libraries worldwide
Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system. During the past few years there has been a considerable amount of progress in the study of periodic solutions of such systems with many new ideas and methods of solution being introduced. The purpose of this paper is to survey these recent developments and their connection with some earlier results. In particular the main results that have been obtained will be stated and an indication will be given of their proofs. A few open questions will also be mentioned. In conclusion it should be mentioned that one of the main sources of inspiration for the development of Hamiltonian mechanics was the field of celestial mechanics. In this field, one encounters Hamiltonians which possess singularities. We believe celestial mechanics is a very interesting and possibly fertile proving ground for the further development of the ideas and methods described in this study
13 editions published between 1977 and 1984 in English and held by 16 WorldCat member libraries worldwide
Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system. During the past few years there has been a considerable amount of progress in the study of periodic solutions of such systems with many new ideas and methods of solution being introduced. The purpose of this paper is to survey these recent developments and their connection with some earlier results. In particular the main results that have been obtained will be stated and an indication will be given of their proofs. A few open questions will also be mentioned. In conclusion it should be mentioned that one of the main sources of inspiration for the development of Hamiltonian mechanics was the field of celestial mechanics. In this field, one encounters Hamiltonians which possess singularities. We believe celestial mechanics is a very interesting and possibly fertile proving ground for the further development of the ideas and methods described in this study
Topics in the calculus of variations and applications to differential equations by
Paul H Rabinowitz(
Book
)
4 editions published in 1998 in English and held by 11 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 11 WorldCat member libraries worldwide
Séminaire sur les équations aux dérivées partielles by Séminaire Equations aux dérivées partielles(
Book
)
1 edition published in 1973 in French and held by 10 WorldCat member libraries worldwide
1 edition published in 1973 in French and held by 10 WorldCat member libraries worldwide
Théorie du degré topologique et applications à des problémes aux limites non linéaires by
Paul H Rabinowitz(
Book
)
3 editions published in 1975 in French and held by 9 WorldCat member libraries worldwide
3 editions published in 1975 in French and held by 9 WorldCat member libraries worldwide
Contributions to nonlinear analysis : a tribute to D.G. de Figueiredo on the occasion of his 70th birthday by
Thierry Cazenave(
)
9 editions published in 2006 in English and held by 8 WorldCat member libraries worldwide
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including: various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type; equations of Schrodinger, Maxwell, NavierStokes, BernoulliEuler, SeibergWitten, CaffarelliKohnNirenberg; existence, uniqueness and multiplicity of solutions; critical Sobolev growth and connected phenomena; qualitative properties, regularity and shape of solutions; inequalities, apriori estimates and asymptotic behavior; and various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids. The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo.; The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems
9 editions published in 2006 in English and held by 8 WorldCat member libraries worldwide
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including: various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type; equations of Schrodinger, Maxwell, NavierStokes, BernoulliEuler, SeibergWitten, CaffarelliKohnNirenberg; existence, uniqueness and multiplicity of solutions; critical Sobolev growth and connected phenomena; qualitative properties, regularity and shape of solutions; inequalities, apriori estimates and asymptotic behavior; and various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids. The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo.; The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems
On subharmonic solutions of Hamiltonian systems by
Paul H Rabinowitz(
Book
)
5 editions published between 1979 and 1980 in English and held by 6 WorldCat member libraries worldwide
Some existence results for T periodic solutions of (0.1) were presented in (1) for superquadratic Hamiltonian systems using finite dimensional minimax arguments together with estimates suitable to pass to a limit. An improved existence mechanism was introduced in (2) and applied to some of the superquadratic problems of (1) as well as to several subquadratic cases. It will show here that these problems possess not only one T periodic solutions z sub 1 but infinitely many distinct subharmonic solutions z sub k. A word of caution must be entered at this point. Although z sub k has period kT, it may not be the case that z sub k has minimal (i.e. primitive) period kT. Indeed simple examples show that there may be an upper bound on the minimal period of z sub k
5 editions published between 1979 and 1980 in English and held by 6 WorldCat member libraries worldwide
Some existence results for T periodic solutions of (0.1) were presented in (1) for superquadratic Hamiltonian systems using finite dimensional minimax arguments together with estimates suitable to pass to a limit. An improved existence mechanism was introduced in (2) and applied to some of the superquadratic problems of (1) as well as to several subquadratic cases. It will show here that these problems possess not only one T periodic solutions z sub 1 but infinitely many distinct subharmonic solutions z sub k. A word of caution must be entered at this point. Although z sub k has period kT, it may not be the case that z sub k has minimal (i.e. primitive) period kT. Indeed simple examples show that there may be an upper bound on the minimal period of z sub k
A first course in numerical analysis by
Anthony Ralston(
Book
)
3 editions published between 1978 and 1984 in Undetermined and English and held by 6 WorldCat member libraries worldwide
K porozumění obsahu knihy je třeba znalosti základů matematické analýzy a některých jejích vyšších partií, jako jsou teorie Fourierových řad, ortogonálních polynomů a funkci komplexní proměnné, jistého minima znalostí o lineární algebře a o samočinných počítačích, dále pak zkušeností s nějakým programovacím jazykem. Autor probírá aproximace pomocí polynomů, interpolace, numerický výpočet derivace, numerickou kvadraturu a sumaci a numerické řešení obyčejných diferenciálních rovnic. Zabývá se aproximacemimetodami nejmenších čtverců a minimalizace maximální chyby, řešením rovnic, vlastními čísly a vlastními vektory matic
3 editions published between 1978 and 1984 in Undetermined and English and held by 6 WorldCat member libraries worldwide
K porozumění obsahu knihy je třeba znalosti základů matematické analýzy a některých jejích vyšších partií, jako jsou teorie Fourierových řad, ortogonálních polynomů a funkci komplexní proměnné, jistého minima znalostí o lineární algebře a o samočinných počítačích, dále pak zkušeností s nějakým programovacím jazykem. Autor probírá aproximace pomocí polynomů, interpolace, numerický výpočet derivace, numerickou kvadraturu a sumaci a numerické řešení obyčejných diferenciálních rovnic. Zabývá se aproximacemimetodami nejmenších čtverců a minimalizace maximální chyby, řešením rovnic, vlastními čísly a vlastními vektory matic
Bifurcation, Perturbation of Simple Eigenvalues and Linearized Stability by
Michael G Crandall(
Book
)
5 editions published between 1972 and 1973 in English and held by 5 WorldCat member libraries worldwide
The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. (Author)
5 editions published between 1972 and 1973 in English and held by 5 WorldCat member libraries worldwide
The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. (Author)
Periodic Solutions of a Hamiltonian System on a Prescribed Energy Surface by
Paul H Rabinowitz(
Book
)
5 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide
Hamilton's equations are basic in the study of theoretical mechanics. A particular class of motions of interest for (*) are periodic ones. For Hamiltonians which are of the form H9p, q) = K(p, q) + V(q), we give sufficient conditions for the kinetic and potential energies K and V to satisfy so that (*) possesses a periodic orbit on a prescribed energy surface
5 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide
Hamilton's equations are basic in the study of theoretical mechanics. A particular class of motions of interest for (*) are periodic ones. For Hamiltonians which are of the form H9p, q) = K(p, q) + V(q), we give sufficient conditions for the kinetic and potential energies K and V to satisfy so that (*) possesses a periodic orbit on a prescribed energy surface
Some aspects of nonlinear eigenvalue problems by
Paul H Rabinowitz(
Book
)
5 editions published in 1972 in English and held by 5 WorldCat member libraries worldwide
Two main topics are discussed in the report: namely, Applications of the theory of topological degree of Leray and Schauder; and A version of the critical point theory of Ljusternik and Schnirelmann. (Author)
5 editions published in 1972 in English and held by 5 WorldCat member libraries worldwide
Two main topics are discussed in the report: namely, Applications of the theory of topological degree of Leray and Schauder; and A version of the critical point theory of Ljusternik and Schnirelmann. (Author)
Some Problems in Nonlinear Analysis(
Book
)
6 editions published between 1988 and 1999 in English and held by 4 WorldCat member libraries worldwide
Variational methods have been developed to treat problems in ordinary and partial differential equations involving multibump solutions, especially of homoclinic and heteroclinic type. Methods have also been obtained to find solutions of Hamiltonian systems heteroclinic to a pair of periodic solutions. Critical point theory, Variational methods, Minimax methods, Hamiltonian systems, Connecting orbits, Homoclinic orbits, Heteroclinic orbits, Multibump solutions
6 editions published between 1988 and 1999 in English and held by 4 WorldCat member libraries worldwide
Variational methods have been developed to treat problems in ordinary and partial differential equations involving multibump solutions, especially of homoclinic and heteroclinic type. Methods have also been obtained to find solutions of Hamiltonian systems heteroclinic to a pair of periodic solutions. Critical point theory, Variational methods, Minimax methods, Hamiltonian systems, Connecting orbits, Homoclinic orbits, Heteroclinic orbits, Multibump solutions
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Related Identities
 University of WisconsinMadison Mathematics Research Center Editor
 Stredulinsky, Edward W. (Edward William) 1953 Creator
 Conference Board of the Mathematical Sciences Other Editor
 Zehnder, Eduard 1940 Editor
 Crandall, Michael G. Author Editor
 Turner, Robert E. L. Editor
 Moser, Jürgen 1928
 Schwartz, Laurent Author
 North Atlantic Treaty Organization Scientific Affairs Division
 Ambrosetti, A. Author
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Associated Subjects
Air Reduction Company Alfred P. Sloan Foundation Argon lasers Bausch & Lomb Optical Company Bell Telephone Laboratories Bifurcation theory Burhop, E. H. S.(Eric Henry Stoneley) Columbia University Critical point theory (Mathematical analysis) Differentiable dynamical systems Differential equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equationsNumerical solutions Duffendack, Ora S.(Ora Stanley), Eigenvalues Functional analysis Functional equationsNumerical solutions Global analysis (Mathematics) Hamiltonian systems Heliumneon lasers Homotopy groups Hughes, Vernon W Institute for Defense Analyses Ladenburg, Rudolf Walter, Lamb, Willis E.(Willis Eugene), Lasers LasersResearch Linde Air Products Company Maiman, Theodore H Massey, Harrie Stewart Wilson,Sir, Mathematical analysis Mathematical optimization Mathematics Maxima and minima Moser, Jürgen, Nonlinear operators Nonlinear theories Numerical analysis Numerical analysisData processing Periodic functions SpectraPhysics (Firm) Topological degree Townes, Charles H United States.Air Force.Office of Scientific Research United States.Army Research Office Yale University Zemansky, Mark Waldo,
Alternative Names
Paul Rabinowitz American mathematician
Paul Rabinowitz Amerikaans wiskundige
Paul Rabinowitz amerikansk matematikar
Paul Rabinowitz amerikansk matematiker
Paul Rabinowitz USamerikanischer Mathematiker
Rabinowitz, P.
Rabinowitz, P. H.
Rabinowitz, P. H. 1939
Rabinowitz, P. H. (Paul H.)
Rabinowitz, Paul
Rabinowitz, Paul 1939
Rabinowitz, Paul H.
Rabinowitz, Paul Henry 1939
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