Generalized Solutions of Nonlinear Partial Differential Equations - 1st Edition - ISBN: 9780444703101, 9780080872575

Generalized Solutions of Nonlinear Partial Differential Equations, Volume 146

1st Edition

Authors: E.E. Rosinger
Hardcover ISBN: 9780444703101
eBook ISBN: 9780080872575
Imprint: North Holland
Published Date: 1st November 1987
Page Count: 406
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Table of Contents

Review of Some Essentials in Weak Solutions and Distributions. Classical Versus Distribution Solutions. Impossibility and Degeneracy Results in Distributions. Limitations of the Linear Distribution Theory.

Colombeau's Nonlinear Theory of Generalized Functions. The Differential Algebra G as an Extension of the D' Distributions. Generalized Solutions of Nonlinear Partial Differential Equations. Generalized Solutions for Linear Partial Differential Equations.

A Necessary Structure for Nonlinear Theories of Generalized Functions. Stability, Generality and Exactness of Generalized Solutions. Chains of Algebras of Generalized Functions. Resolution of Singularities of Weak Solutions for Polynomial Nonlinear Partial Differential Equations.


Description

Review of Some Essentials in Weak Solutions and Distributions. Classical Versus Distribution Solutions. Impossibility and Degeneracy Results in Distributions. Limitations of the Linear Distribution Theory.

Colombeau's Nonlinear Theory of Generalized Functions. The Differential Algebra G as an Extension of the D' Distributions. Generalized Solutions of Nonlinear Partial Differential Equations. Generalized Solutions for Linear Partial Differential Equations.

A Necessary Structure for Nonlinear Theories of Generalized Functions. Stability, Generality and Exactness of Generalized Solutions. Chains of Algebras of Generalized Functions. Resolution of Singularities of Weak Solutions for Polynomial Nonlinear Partial Differential Equations.


Details

No. of pages:
406
Language:
English
Copyright:
© North Holland 1987
Published:
Imprint:
North Holland
eBook ISBN:
9780080872575

About the Authors

E.E. Rosinger Author

Affiliations and Expertise

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa