Rabinowitz, Paul H.Overview
Publication Timeline
Most widely held works by
Paul H Rabinowitz
Minimax methods in critical point theory with applications to differential equations
by Paul H Rabinowitz
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Book
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15 editions published between 1986 and 1988 in English and held by 352 WorldCat member libraries worldwide
Applications of bifurcation theory : proceedings of an advanced seminar
by Advanced Seminar on Applications of Bifurcation Theory
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Book
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6 editions published in 1977 in English and held by 345 WorldCat member libraries worldwide
Extensions of MoserBangert theory locally minimal solutions
by Paul H Rabinowitz
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5 editions published in 2011 in English and held by 337 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."P. [4] of cover
Directions in partial differential equations
by University of WisconsinMadison
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Book
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8 editions published in 1987 in English and held by 239 WorldCat member libraries worldwide
Analysis, et cetera : research papers published in honor of Jürgen Moser's 60th birthday
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Book
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10 editions published in 1990 in English and held by 227 WorldCat member libraries worldwide
Functional analysis
by Laurent Schwartz
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Book
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2 editions published in 1964 in English and held by 226 WorldCat member libraries worldwide
Periodic solutions of Hamiltonian systems and related topics
by Paul H Rabinowitz
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Book
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14 editions published between 1986 and 1987 in English and held by 178 WorldCat member libraries worldwide
Applications of bifurcation theory : proceedings of an Advanced Seminar conducted by the Mathematics Research Center, the University of Wisconsin at Madison, October 2729, 1976
by Advanced Seminar on Applications of Bifurcation Theory
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Book
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12 editions published in 1977 in English and held by 47 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
Topological methods in bifurcation theory
by Kazimierz Gęba
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Book
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5 editions published in 1985 in English and Undetermined and held by 22 WorldCat member libraries worldwide
Théorie du degré topologique et applications à des problémes aux limites non linéaires
by Paul H Rabinowitz
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Book
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3 editions published in 1975 in French and held by 9 WorldCat member libraries worldwide
Séminaire sur les équations aux dérivées partielles
by Séminaire Equations aux dérivées partielles
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Book
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1 edition published in 1973 in French and held by 9 WorldCat member libraries worldwide
Topics in the calculus of variations and applications to differential equations
by Paul H Rabinowitz
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Book
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2 editions published in 1998 in English and held by 8 WorldCat member libraries worldwide
Extensions of MoserBanger theory : locally minimal solutions
(
Book
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1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
Extensions of MoserBangert Theory
by Paul H Rabinowitz
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3 editions published in 2011 in English and held by 5 WorldCat member libraries worldwide This selfcontained monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an AllenCahn PDE model of phase transitions. After recalling the relevant MoserBangert results, Extensions of MoserBangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for
Some Problems in Nonlinear Analysis
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Book
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5 editions published between 1988 and 1999 in English and held by 5 WorldCat member libraries worldwide Crandall has worked on several questions including applications of nonlinear semigroup theory to nonlinear diffusion problems, the abstract theory of evolution equations, the theoretical basis for Hamilton Jacobi equations in infinite dimensions and its application to dynamic programming in infinite dimensional control and differential games, and the theory of viscosity solutions of fully nonlinear second order partial differential equations. Rabinowitz has worked on a variety of problems which have the common feature that they all involve the development of methods in the calculus of variations and their application to differential equations. In particular he treated the existence of periodic solutions of smooth Hamiltonian systems and systems involving singular potentials, the existence of various types of connecting orbits of Hamiltonian systems such as homoclinic and heteroclinic solutions, and the existence of multiple solutions of semilinear elliptic equations
Bifurcation, perturbation of simple eigenvalues and linearized stability
by Michael G Crandall
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Book
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4 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 Hamiltonian systems : a survey
by Paul H Rabinowitz
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Book
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3 editions published between 1977 and 1980 in English and held by 4 WorldCat member libraries worldwide
Periodic Solutions of a Hamiltonian System on a Prescribed Energy Surface
by Paul H Rabinowitz
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Book
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4 editions published in 1978 in English and held by 4 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
A Variational Method for Finding Periodic Solutions of Differential Equations
by Paul H Rabinowitz
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Book
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4 editions published in 1978 in English and held by 4 WorldCat member libraries worldwide This paper concerns the use of minimax and approximation techniques from the calculus of variations to prove the existence of periodic solutions of Hamiltonian systems of ordinary differential equations. Most of the results are for equations where the period is prescribed and assumptions are made about the growth of the Hamiltonian near infinity. However it is also shown how such results can give information about solutions having prescribed energy. (Author)
Periodic Solutions of Hamiltonian Systems: A Survey
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Book
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3 editions published between 1977 and 1980 in English and held by 3 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 more
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Associated Subjects
Bifurcation theory 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 Eigenvalues Functional analysis Functional equationsNumerical solutions Global analysis (Mathematics) Hamiltonian systems Homotopy groups Mathematical analysis Mathematical optimization Mathematics Maxima and minima Moser, Jürgen, Nonlinear operators Nonlinear theories Periodic functions Topological degree

Alternative Names
Rabinowitz, P.
Rabinowitz, P. H.
Rabinowitz, P. H. (Paul H.)
Rabinowitz, Paul
Rabinowitz, Paul H.
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