An introduction to the general theory of second order parabolic differential equations, which model many time-dependent physical systems. The book studies the existence, uniqueness and regularity of solutions to a variety of problems.
An introduction to the general theory of second order parabolic differential equations, which model many time-dependent physical systems. The book stu...
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,...
This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection ...