Nonlinear Partial Differential Equations of Second Order

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Nonlinear Partial Differential Equations of Second Order

Name: Nonlinear Partial Differential Equations of Second Order
ISBN: 9780821846858

Guang Chang Dong

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This book addresses a class of equations central to many areas of mathematics and its applications. Although there is no routine way of solving nonlinear partial differential equations, effective approaches that apply to a wide variety of problems are available. This book addresses a general approach that consists of the following: Choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution. The author emphasizes the derivation of various estimates, including a priori estimates. By focusing on a particular approach that has proven useful in solving a broad range of equations, this book makes a useful contribution to the literature.

Kategorien:

Mathematics

Jahr:

1991

Verlag:

American Mathematical Society

Sprache:

english

Seiten:

263

ISBN 10:

082184685X