Nonlinear Partial Differential Equations of Second Order

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 which 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 an invaluable contribution to the literature.Dong, Guangchang is the author of 'Nonlinear Partial Differential Equations of Second Order' with ISBN 9780821845547 and ISBN 0821845543.