Hilbert Space Methods For Partial Differential Equations
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Hilbert Space Methods In Partial Differential Equations
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Author : Ralph E. Showalter
language : en
Publisher: Courier Corporation
Release Date : 2011-09-12
Hilbert Space Methods In Partial Differential Equations written by Ralph E. Showalter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-12 with Mathematics categories.
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Hilbert Space Methods For Partial Differential Equations
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Author : Ralph E. Showalter
language : en
Publisher:
Release Date : 1979
Hilbert Space Methods For Partial Differential Equations written by Ralph E. Showalter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Introduction To Partial Differential Equations And Hilbert Space Methods
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Author : Karl E. Gustafson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Introduction To Partial Differential Equations And Hilbert Space Methods written by Karl E. Gustafson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Hilbert Space Methods For Partial Differential Equations
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Author : R. E. Showalter
language : en
Publisher:
Release Date : 1977
Hilbert Space Methods For Partial Differential Equations written by R. E. Showalter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Differential equations, Partial categories.
Introduction To Hilbert Space Methods In Partial Differential Equations
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Author : Jaak Peetre
language : en
Publisher:
Release Date : 1965
Introduction To Hilbert Space Methods In Partial Differential Equations written by Jaak Peetre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Differential equations, Partial categories.
Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
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Author : Krzysztof Kowalski
language : en
Publisher: World Scientific
Release Date : 1994
Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems written by Krzysztof Kowalski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrdinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the ?quantal? Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
Modern Methods In Partial Differential Equations
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Author : Martin Schechter
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15
Modern Methods In Partial Differential Equations written by Martin Schechter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Mathematics categories.
When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.
Partial Differential Equations
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Author : Lipman Bers
language : en
Publisher: American Mathematical Soc.
Release Date : 1964-12-31
Partial Differential Equations written by Lipman Bers and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964-12-31 with Differential equations, Partial categories.
This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
Partial Differential Equations
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Author : Rainer Picard
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-30
Partial Differential Equations written by Rainer Picard and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Mathematics categories.
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.
Partial Differential Equations
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Author : Wolfgang Arendt
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Partial Differential Equations written by Wolfgang Arendt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.