Strichartz estimates for the wave equation on manifolds with boundary

Details Strichartz estimates for the wave equation on manifolds with boundary Strichartz estimates for the wave equation on manifolds with boundary

2008-05-30

arxiv.org/abs/0805.4733v3

Mathematics

Analysis of PDEs

16 pages. Couple of typos corrected, to appear in Annales de l'Institut Henri Poincare

Scientific paper

We prove certain mixed-norm Strichartz estimates on manifolds with boundary. Using them we are able to prove new results for the critical and subcritical wave equation in 4-dimensions with Dirichlet or Neumann boundary conditions. We obtain global existence in the subcricital case, as well as global existence for the critical equation with small data. We also can use our Strichartz estimates to prove scattering results for the critical wave equation with Dirichlet boundary conditions in 3-dimensions.

Affiliated with

Also associated with

No associations

Rating

Strichartz estimates for the wave equation on manifolds with boundary 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 Strichartz estimates for the wave equation on manifolds with boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strichartz estimates for the wave equation on manifolds with boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317951