Translations of Mathematical Monographs 1991; 251 pp; softcover Volume: 95 ISBN10: 082184685X ISBN13: 9780821846858 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. Reviews "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 wellwritten and instructive collection of recent results on various topics in the field of nonlinear secondorder 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 Table of Contents  The first boundary value problem for secondorder quasilinear parabolic equations with principal part in divergence form
 A periodic boundary value problem for a nonlinear telegraph equation
 The initial value problem for a nonlinear Schrödinger equation
 Multidimensional subsonic flows around an obstacle
 The initialboundary value problem for degenerate quasilinear parabolic equations
 The speed of propagation of the solution of a degenerate quasilinear parabolic equation
 Aleksandrov and Bony maximum principles for parabolic equations
 The density theorem and its applications
 Fully nonlinear parabolic equations
 Fully nonlinear parabolic equations (continued)
 Symbols
 References
