Simple nonlinear waves on curved manifolds
Presenter
November 18, 2013
Keywords:
- Minkowski space
- cosmic background
- gravitational waves
- generalizations of gravitational waves
- mathematical general relativity
- static solutions
- existence and uniqueness results for PDEs
MSC:
- 35Q75
- 35Qxx
- 83-XX
- 83Cxx
- 83C35
- 83C25
- 83C30
- 83Fxx
Abstract
My talk will be concerned with semilinear wave equations posed on curved manifolds. I will discuss several simple examples illustrating how a non-flat geometry of the domain affects the global behavior of solutions.