|
|||||
|
|
Strichartz estimates for the wave equation on manifolds with boundary |
|
| Authors: | Matthew D Blair Hart F Smith Christopher D Sogge |
| Institution: | aDepartment of Mathematics, University of New Mexico, Albuquerque, NM 87131, USA;bDepartment of Mathematics, University of Washington, Seattle, WA 98195, USA;cDepartment of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA |
| Abstract: | 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 subcritical 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. |
| Keywords: | Strichartz estimates Wave equation Critical nonlinear wave equation Scattering |
| 本文献已被 ScienceDirect 等数据库收录！ | |