Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
arXiv:gr-qc/0510097
Abstract
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.
arXiv commentThis paper has been withdrawn since a revised version is published in the series `Springer Lecture Notes in Mathematics'