Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions

Details Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions

2004-04-22

arxiv.org/abs/math/0404420v2

Mathematics

Analysis of PDEs

Some corrections (per the referee's suggestions) were made in Section 3. 24 pages

Scientific paper

We prove global existence of solutions to quasilinear wave equations with quadratic nonlinearities exterior to nontrapping obstacles in spatial dimensions four and higher. This generalizes a result of Shibata and Tsutsumi in spatial dimensions greater than or equal to six. The technique of proof would allow for more complicated geometries provided that an appropriate local energy decay exists for the associated linear wave equation.

Affiliated with

Also associated with

No associations

Rating

Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions 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 for Dirichlet-wave equations with quadratic nonlinearties in high dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662160