Vieweg Aspects of Mathematics
Volume: 28; 1996; 269 pp; Hardcover
MSC: Primary 47; 34; 35;
Print ISBN: 978-3-528-06659-8
Product Code: VWAM/28
List Price: $109.00
Individual Member Price: $98.10
Singular Nonlinear Partial Differential EquationsShare this page
Raymond Gérard; Hidetoshi Tahara
A publication of Vieweg+Teubner
The main purpose of this book is to present all known results on the existence of formal, holomorphic, and singular solutions of singular nonlinear ordinary and partial differential equations in the complex domain. It contains a new approach to regular singularities for nonlinear PDE, Maillet type theorems for nonlinear PDE, Briot-Bouquet type PDE, higher order nonlinear Fuchsian PDE, Poincaré's and Siegel's results for vector fields, and also a general form of the Cauchy-Kowalewski theorem. Readers of the book are assumed to be familiar with only the basics on differential equations and function theory of complex variables.
A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.