Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
广义相对论与量子宇宙学
2007-05-23 v2 数学物理
偏微分方程分析
math.MP
摘要
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems. Throughout the course applications to problems from current relativistic (hyperbolic) physics are provided, which display the potential of semigroup methods in the solution of current research problems in physics.
引用
@article{arxiv.gr-qc/0510097,
title = {Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations},
author = {Horst R. Beyer},
journal= {arXiv preprint arXiv:gr-qc/0510097},
year = {2007}
}
备注
This paper has been withdrawn since a revised version is published in the series `Springer Lecture Notes in Mathematics'