The new method of regularity theory and its applications
Автор:Shuhong Chen and Zhong Tan Год: 2012 Издание:LAP Lambert Academic Publishing Страниц: 296 ISBN: 9783659278068 Regularity theory is one of the most challenging problems in modern theory of partial differential equations. It has attracted peoples’ eyes for a long history. A classical method of partial regularity theory is the “freezing the coefficients” method. The proof is complex and troublesome. And the result obtained by this method is not optimal. In this book, we use the method of A-harmonic approximation, to consider regularity theory for nonlinear partial differential systems. The new method not only allows one to simplify the procedure of proof, but also to establish optimal regularity results directly. This book should be useful to professionals in partial differential equations.
