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The New Method of Regularity Theory and Its Applications

The New Method of Regularity Theory and Its Applications

Paperback

General Mathematics

ISBN10: 3659278068
ISBN13: 9783659278068
Publisher: Lap Lambert Academic Pub
Published: Nov 2 2012
Pages: 296
Weight: 0.96
Height: 0.67 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics