Oblique Derivative Problems for Elliptic Equations

Download or read book Oblique Derivative Problems for Elliptic Equations written by Gary M. Lieberman and published by World Scientific. This book was released on 2013 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. The author begins the book with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. The final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.