Gary M. Lieberman, "Second Order Parabolic Differential Equations"
2005 | ISBN: 981022883X | English | DJVU/PDF | 453 pages | 4/35.8 MB
2005 | ISBN: 981022883X | English | DJVU/PDF | 453 pages | 4/35.8 MB
This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. …