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Generalized Solutions of Nonlinear Partial Differential Equations

โœ Scribed by Leopoldo Nachbin (Eds.)


Publisher
Academic Press, Elsevier
Year
1987
Tongue
English
Leaves
410
Series
North-Holland Mathematics Studies 146
Category
Library

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โœฆ Table of Contents


Content:
Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Dedicated
Page v

Foreword
Pages vii-xii
E.E. Rosinger

Chapter 1 Classical Versus Distribution Solutions
Pages 3-24

Chapter 2 Impossibility and Degeneracy Results in Distributions
Pages 25-36

Chapter 3 Limitations of the Linear Distribution Theory
Pages 37-47

Chapter 1 The Differential Algebra & As an Extention of the D' Distributions
Pages 51-143

Chapter 2 Generalized Solutions of Nonlinear Partial Differential Equations
Pages 145-168

Chapter 3 Generalized Solutions for Linear Partial Differential Equations
Pages 169-192

Chapter 1 Stability, Generality and Exactness of Generalized Solutions
Pages 195-286

Chapter 2 Chains of Algebras of Generalized Functions
Pages 287-347

Chapter 3 Resolution of Singularities of Weak Solutions for Polynomial Nonlinear Partial Differential Equations
Pages 349-390

Final Remarks
Pages 391-402

References
Pages 403-409


๐Ÿ“œ SIMILAR VOLUMES


Generalized solutions of nonlinear parti
โœ Rosinger E.E. ๐Ÿ“‚ Library ๐Ÿ“… 1987 ๐ŸŒ English

During the last few years, several fairly systematic nonlinear theories of generalized solutions of rather arbitrary nonlinear partial differential equations have emerged. The aim of this volume is to offer the reader a sufficiently detailed introduction to two of these recent nonlinear theories whi

Generalized solutions of nonlinear parti
โœ Rosinger, Elemer E ๐Ÿ“‚ Library ๐Ÿ“… 1987 ๐Ÿ› North-Holland, Sole distributors for the U.S.A. an ๐ŸŒ English

During the last few years, several fairly systematic nonlinear theories of generalized solutions of rather arbitrary nonlinear partial differential equations have emerged. The aim of this volume is to offer the reader a sufficiently detailed introduction to two of these recent nonlinear theories whi

Superdiffusions and Positive Solutions o
โœ E. B. Dynkin ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› American Mathematical Society ๐ŸŒ English

This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the doma

Superdiffusions and positive solutions o
โœ E. B. Dynkin ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› American Mathematical Society ๐ŸŒ English

This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the doma