Boundary Value Problems For Second Order Elliptic Equations
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Boundary Value Problems For Second Order Elliptic Equations
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Author : A.V. Bitsadze
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Boundary Value Problems For Second Order Elliptic Equations written by A.V. Bitsadze and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.
Boundary Value Problems For Second Order Elliptic Equations
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Author : A. V. Bicadze
language : en
Publisher:
Release Date : 1963
Boundary Value Problems For Second Order Elliptic Equations written by A. V. Bicadze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Polyharmonic Boundary Value Problems
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Author : Filippo Gazzola
language : en
Publisher: Springer
Release Date : 2010-05-26
Polyharmonic Boundary Value Problems written by Filippo Gazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-26 with Mathematics categories.
This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.
Elliptic Problems In Nonsmooth Domains
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Author : Pierre Grisvard
language : en
Publisher: SIAM
Release Date : 2011-10-20
Elliptic Problems In Nonsmooth Domains written by Pierre Grisvard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Mathematics categories.
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Harmonic Analysis Techniques For Second Order Elliptic Boundary Value Problems
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Author : Carlos E. Kenig
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Harmonic Analysis Techniques For Second Order Elliptic Boundary Value Problems written by Carlos E. Kenig 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 1994 with Mathematics categories.
In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result might be true. Kenig describes these developments and connections for the study of classical boundary value problems on Lipschitz domains and for the corresponding problems for second order elliptic equations in divergence form. He also points out many interesting problems in this area which remain open.
Second Order Parabolic Differential Equations
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Author : Gary M. Lieberman
language : en
Publisher: World Scientific
Release Date : 1996
Second Order Parabolic Differential Equations written by Gary M. Lieberman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
Boundary Value Problems For Second Order Elliptic Equations
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Author : Andrei Vasil'evich Bitsadze
language : en
Publisher:
Release Date : 1968
Boundary Value Problems For Second Order Elliptic Equations written by Andrei Vasil'evich Bitsadze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Boundary value problems categories.
Boundary Value Problems For Elliptic Systems
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Author : J. T. Wloka
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-28
Boundary Value Problems For Elliptic Systems written by J. T. Wloka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-28 with Mathematics categories.
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
Boundary Value Problems For Second Order Elliptic Equations Tr
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Author : Andrei Vasil'evich Bitsadze
language : en
Publisher:
Release Date :
Boundary Value Problems For Second Order Elliptic Equations Tr written by Andrei Vasil'evich Bitsadze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Boundary value problems categories.
Nonlinear Second Order Elliptic Equations
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Author : Mingxin Wang
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Nonlinear Second Order Elliptic Equations written by Mingxin Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and asymptotic behavior of such solutions. While not all-encompassing, these topics represent major approaches to the theory of partial differential equations and systems, and should be of significant interest to graduate students and researchers. Two appendices have been included to provide a good gauge of the prerequisites for this book and make it reasonably self-contained. A notable strength of the book is that it contains a large number of substantial examples. Exercises for the reader are also included. Therefore, this book is suitable as a textbook for graduate students who havealready had an introductory course on PDE and some familiarity with functional analysis and nonlinear functional analysis, and as a reference for researchers.