Nonlinear Partial Differential Equations of Second Order

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A01=Guang Chang Dong
Author_Guang Chang Dong
Category=PBKJ
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Product details

  • ISBN 9780821846858
  • Weight: 464g
  • Publication Date: 30 Jan 1991
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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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.

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