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Translations of Mathematical Monographs
1991; 251 pp; softcover
List Price: US$89
Member Price: US$71.20
Order Code: MMONO/95.S
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.
"Serves as a good introduction for postgraduate students ... For advanced researchers, it is also a good reference to many useful results and to various kinds of techniques."
-- Bulletin of the London Mathematical Society
"A well-written and instructive collection of recent results on various topics in the field of nonlinear second-order PDEs ... the exposition is exceptionally clear; Tso has provided a competent and very readable translation."
-- Mathematical Reviews
"Clearly written, its global quality is good."
-- Zentralblatt MATH
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