Generalized Solutions of Nonlinear Partial Differential Equations
โ Scribed by Leopoldo Nachbin (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1987
- Tongue
- English
- Leaves
- 410
- Series
- North-Holland Mathematics Studies 146
- Category
- Library
No coin nor oath required. For personal study only.
โฆ 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
๐ SIMILAR VOLUMES
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
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
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
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