Singular Partial Differential Equations


Singular Partial Differential Equations
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Singular Nonlinear Partial Differential Equations


Singular Nonlinear Partial Differential Equations
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Author : Raymond Gérard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Singular Nonlinear Partial Differential Equations written by Raymond Gérard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations.



Singular Partial Differential Equations


Singular Partial Differential Equations
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Author : Abduhamid Dzhuraev
language : en
Publisher: CRC Press
Release Date : 1999-11-29

Singular Partial Differential Equations written by Abduhamid Dzhuraev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Science categories.


Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.



Singular Nonlinear Partial Differential Equations


Singular Nonlinear Partial Differential Equations
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Author : Raymond Gerard
language : en
Publisher:
Release Date : 2014-01-15

Singular Nonlinear Partial Differential Equations written by Raymond Gerard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Approaches To Singular Analysis


Approaches To Singular Analysis
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Author : Juan B. Gil
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Approaches To Singular Analysis written by Juan B. Gil and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This collection presents various approaches to analytic problems that arise in the context of singular spaces. It contains articles offering introductions to various pseudodifferential calculi and discussions of relations between them, plus invited papers from mathematicians who have made significant contributions to this field



Geometric Theory Of Singular Phenomena In Partial Differential Equations


Geometric Theory Of Singular Phenomena In Partial Differential Equations
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Author : Jean Pierre Bourguignon
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28

Geometric Theory Of Singular Phenomena In Partial Differential Equations written by Jean Pierre Bourguignon 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 1998-05-28 with Mathematics categories.


This book gathers together papers from a workshop held in Cortona, Italy. The contributions come from a group of outstanding mathematicians and together they cover the most recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry. This volume will be of great interest to all those whose research interests lie in real and complex differential geometry, partial differential equations, and gauge theory.



Analysis Of Singularities For Partial Differential Equations


Analysis Of Singularities For Partial Differential Equations
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Author :
language : en
Publisher:
Release Date :

Analysis Of Singularities For Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Analysis Of Singularities For Partial Differential Equations


Analysis Of Singularities For Partial Differential Equations
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Author : Shuxing Chen
language : en
Publisher: World Scientific
Release Date : 2011

Analysis Of Singularities For Partial Differential Equations written by Shuxing Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.



Singular Solutions Of Nonlinear Elliptic And Parabolic Equations


Singular Solutions Of Nonlinear Elliptic And Parabolic Equations
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Author : Alexander A. Kovalevsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-03-21

Singular Solutions Of Nonlinear Elliptic And Parabolic Equations written by Alexander A. Kovalevsky and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-21 with Mathematics categories.


This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form. The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis. Contents: Foreword Part I: Nonlinear elliptic equations with L^1-data Nonlinear elliptic equations of the second order with L^1-data Nonlinear equations of the fourth order with strengthened coercivity and L^1-data Part II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order Removability of singularities of the solutions of quasilinear elliptic equations Removability of singularities of the solutions of quasilinear parabolic equations Quasilinear elliptic equations with coefficients from the Kato class Part III: Boundary regimes with peaking for quasilinear parabolic equations Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations Method of functional inequalities in peaking regimes for parabolic equations of higher orders Nonlocalized regimes with singular peaking Appendix: Formulations and proofs of the auxiliary results Bibliography



Partial Differential Equations And Their Applications Proceedings Of The Conference


Partial Differential Equations And Their Applications Proceedings Of The Conference
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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1999-11-26

Partial Differential Equations And Their Applications Proceedings Of The Conference written by Luigi Rodino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-26 with Mathematics categories.


This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.



The Boundary Function Method For Singular Perturbed Problems


The Boundary Function Method For Singular Perturbed Problems
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Author : Adelaida B. Vasil'eva
language : en
Publisher: SIAM
Release Date : 1995-01-01

The Boundary Function Method For Singular Perturbed Problems written by Adelaida B. Vasil'eva and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.


This book is devoted solely to the boundary function method, which is one of the asymptotic methods.