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Nonlinear Partial Differential Equations of Second Order

โœ Scribed by Guangchang Dong

Publisher
Amer Mathematical Society
Year
1991
Tongue
English
Leaves
263
Series
Translations of Mathematical Monographs
Category
Library
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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Nonlinear Partial Differential Equations
๐Ÿ“ Nonlinear Partial Differential Equations of Second Order
โœ Guang Chang Dong ๐Ÿ“‚ Library ๐Ÿ“… 1991 ๐Ÿ› American Mathematical Society ๐ŸŒ English

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 approac

Elliptic Partial Differential Equations
๐Ÿ“ Elliptic Partial Differential Equations of Second Order
โœ David Gilbarg, Neil S. Trudinger ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐Ÿ› Springer ๐ŸŒ English

<span>From the reviews:<br>"This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material