Schechter, Martin
Overview
Works:  53 works in 286 publications in 6 languages and 5,035 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Other 
Classifications:  QA374, 515.353 
Publication Timeline
.
Most widely held works by
Martin Schechter
Principles of functional analysis by
Martin Schechter(
Book
)
52 editions published between 1971 and 2002 in 3 languages and held by 1,011 WorldCat member libraries worldwide
Functional analysis plays a crucial role in the applied sciences as well as in mathematics. In keeping with this fact the author has made this advanced textbook accessible to a wide range of students including advanced undergraduates
52 editions published between 1971 and 2002 in 3 languages and held by 1,011 WorldCat member libraries worldwide
Functional analysis plays a crucial role in the applied sciences as well as in mathematics. In keeping with this fact the author has made this advanced textbook accessible to a wide range of students including advanced undergraduates
Spectra of partial differential operators by
Martin Schechter(
Book
)
28 editions published between 1971 and 1986 in 3 languages and held by 687 WorldCat member libraries worldwide
28 editions published between 1971 and 1986 in 3 languages and held by 687 WorldCat member libraries worldwide
Operator methods in quantum mechanics by
Martin Schechter(
Book
)
24 editions published between 1981 and 2014 in English and Undetermined and held by 460 WorldCat member libraries worldwide
Operator Methods in Quantum Mechanics
24 editions published between 1981 and 2014 in English and Undetermined and held by 460 WorldCat member libraries worldwide
Operator Methods in Quantum Mechanics
Modern methods in partial differential equations : an introduction by
Martin Schechter(
Book
)
21 editions published between 1977 and 2014 in English and Undetermined and held by 453 WorldCat member libraries worldwide
"When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, muchcited contribution to the everexpanding literature on partial differential equations"
21 editions published between 1977 and 2014 in English and Undetermined and held by 453 WorldCat member libraries worldwide
"When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, muchcited contribution to the everexpanding literature on partial differential equations"
An introduction to nonlinear analysis by
Martin Schechter(
Book
)
17 editions published between 2004 and 2012 in English and held by 282 WorldCat member libraries worldwide
Schechter's book deploys nonlinear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving nonlinear problems is developed whilst demonstrating their application
17 editions published between 2004 and 2012 in English and held by 282 WorldCat member libraries worldwide
Schechter's book deploys nonlinear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving nonlinear problems is developed whilst demonstrating their application
Partial differential equations by
Lipman Bers(
Book
)
38 editions published between 1964 and 1998 in 4 languages and held by 213 WorldCat member libraries worldwide
38 editions published between 1964 and 1998 in 4 languages and held by 213 WorldCat member libraries worldwide
Critical point theory and its applications by
Wenming Zou(
Book
)
18 editions published in 2006 in English and held by 210 WorldCat member libraries worldwide
"Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrodinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition."Publisher's website
18 editions published in 2006 in English and held by 210 WorldCat member libraries worldwide
"Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrodinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition."Publisher's website
Linking methods in critical point theory by
Martin Schechter(
Book
)
13 editions published between 1998 and 2012 in English and held by 188 WorldCat member libraries worldwide
13 editions published between 1998 and 2012 in English and held by 188 WorldCat member libraries worldwide
Topics in critical point theory by
Kanishka Perera(
Book
)
12 editions published between 2011 and 2013 in English and held by 176 WorldCat member libraries worldwide
"This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, pLaplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"
12 editions published between 2011 and 2013 in English and held by 176 WorldCat member libraries worldwide
"This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, pLaplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"
Minimax systems and critical point theory by
Martin Schechter(
Book
)
15 editions published in 2009 in English and held by 75 WorldCat member libraries worldwide
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author's preceding book entitled Linking Methods in Critical Point Theory. Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework. Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author's previous Birkhäuser work, Linking Methods in Critical Point Theory: The applications of the abstract theory are to the existence of (nontrivial) weak solutions of semilinear elliptic boundary value problems for partial differential equations, written in the form Au = f(x, u). ... The author essentially shows how his methods can be applied whenever the nonlinearity has sublinear growth, and the associated functional may increase at a certain rate in every direction of the underlying space. This provides an elementary approach to such problems. ... A clear overview of the contents of the book is presented in the first chapter, while bibliographical comments and variant results are described in the last one.MathSciNet
15 editions published in 2009 in English and held by 75 WorldCat member libraries worldwide
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author's preceding book entitled Linking Methods in Critical Point Theory. Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework. Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author's previous Birkhäuser work, Linking Methods in Critical Point Theory: The applications of the abstract theory are to the existence of (nontrivial) weak solutions of semilinear elliptic boundary value problems for partial differential equations, written in the form Au = f(x, u). ... The author essentially shows how his methods can be applied whenever the nonlinearity has sublinear growth, and the associated functional may increase at a certain rate in every direction of the underlying space. This provides an elementary approach to such problems. ... A clear overview of the contents of the book is presented in the first chapter, while bibliographical comments and variant results are described in the last one.MathSciNet
Partial differential equations : lecture notes, mathematics 365 by
Martin Schechter(
Book
)
3 editions published in 1961 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1961 in English and held by 17 WorldCat member libraries worldwide
Modern methods in partial differentiation equations : an introduction by
Martin Schechter(
Book
)
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
An introduction to modern methods in partial differential equations by
Martin Schechter(
Book
)
1 edition published in 1977 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 4 WorldCat member libraries worldwide
Radiculosaccography with watersoluble contrast media by
P Capesius(
Book
)
2 editions published between 1978 and 2014 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1978 and 2014 in English and held by 3 WorldCat member libraries worldwide
Lectures in applied mathematics : proceedings of the summer seminar, boulder, colorado, 1957(
Book
)
1 edition published in 1959 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 3 WorldCat member libraries worldwide
Pian wei fen fang cheng di xian dai fang fa by
Martin Schechter(
Book
)
1 edition published in 1983 in Chinese and held by 3 WorldCat member libraries worldwide
1 edition published in 1983 in Chinese and held by 3 WorldCat member libraries worldwide
Die Giganten des Fuenfjahrplanes by
Michail E Šechter(
Book
)
1 edition published in 1931 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1931 in German and held by 2 WorldCat member libraries worldwide
Partial differential equations by
Fritz John(
Book
)
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
Partial differential equations , by Lipman Bers, Fritz John [and] Martin Schechter by
Lipman Bers(
Book
)
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1964 in English and held by 2 WorldCat member libraries worldwide
Lectures in applied mathematics : proceedings of the summer seminar, Boulder, Colorado (June 23 to July 19,) 1957 : (sponsored
by the American Mathematical Society)(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
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Boundary value problems Chebyshev approximation Critical point theory (Mathematical analysis) Differential equations Differential equations, Linear Differential equations, Nonlinear Differential equations, Partial Differential operators Equations Fixed point theory Functional analysis Global analysis (Mathematics) Lumbosacral regionRadiography Mathematics Maxima and minima Mechanics Nonlinear boundary value problems Nonlinear functional analysis Nonlinear theories Numerical analysis Operator theory Partial differential operators Quantum theory Radiographic contrast media Spectral theory (Mathematics) Spinal nerve rootsRadiography