Abstract Cauchy Problems —— Three Approaches

----- 抽象柯西问题：三种方法

ISBN: 9780367397470 出版年：2001 页码：259 Melnikova, Irina V Filinkov, Alexei CRC Press

Preface Introduction ILLUSTRATION AND MOTIVATION Heat Equation The Reversed Cauchy Problem for the Heat Equation Wave Equation SEMIGROUP METHODS C0-Semigroups Integrated Semigroups k-Convoluted Semigroups C-Regularized Semigroups Degenerate Semigroups The Cauchy Problem for Inclusions Second Order Equations ABSTRACT DISTRIBUTION METHODS The Cauchy Problem The Degenerate Cauchy Problem Ultradistributions and New Distributions REGULARIZATION METHODS The Ill-Posed Cauchy Problem Regularization and C-Regularized Semigroups Bibliographic Remark Bibliography Glossary of Notation Index