Faithin Omaha eBook Collection

The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. Thi

This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special em

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several meth

The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caus