Oblique Derivative Problems For Elliptic Equations

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Bibliographic Details
Title: Oblique Derivative Problems For Elliptic Equations
Description: 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.
Authors: Gary M Lieberman
Resource Type: eBook.
Subjects: Differential equations, Partial, Mathematical physics
Categories: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Geometry / Analytic, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
Description
Abstract: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.
ISBN:9789814452328
9789814452335
9789814452342