Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations

Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
by Horst R. Beyer

Publisher: arXiv 2011
Number of pages: 275

Description:
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.