Regularized Semigroups and Non-Elliptic Differential Operators
Authors: Zheng Quan, Li Miao
978-1-78332-275-6 Publication Year: 2017
Pages: 220 Binding: Hard Back
About the book
REGULARIZED SEMIGROUPS AND NON-ELLIPTIC DIFFERENTIAL OPERATORS discusses the semi-group approach to non-elliptic differential operators, which was developed in the last two decades. A detailed introduction to the theory of regularized semigroups is provided. And then, the authors give the applications of regularized semigroups to non-elliptic differential operators with constant coefficients of time-dependent coefficients, parabolic systems, correct systems, abstract differential operators and pseudo differential operators. They also give the very recent use of regularized semigroups to Schrödinger operators.
Preface / Regularized Semigroups / Perturbations, Approximations and Representations / Integrated Semigroups / Abstract Differential Operators with Constant Coefficients / Applications to Partial Differential Operators / Abstract Differential Operators with Time-dependent Coefficients / Parabolic, Correct and Hyperbolic Systems / Schrödinger Equations / Bibliography / Appendixes / List of Symbols and Abbreviations / Index.