Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

Details Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

2004-09-20

arxiv.org/abs/math/0409362v1

Mathematics

Analysis of PDEs

30 pages. To appear in Forum Math

Scientific paper

In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for systems of quasilinear wave equations with multiple speeds. The null condition only puts restrictions on the self-interactions of each wave family. We use the method of commuting vector fields and weighted space-time $L^2$ estimates.

Affiliated with

Also associated with

No associations

Rating

Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-42288