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MSRI Summer Microprogram on Nonlinear Partial Differential Equations

July 23, 2007 to August 10, 2007
Organized By: L. C. Evans (UC Berkeley, Chair), C. Gutierrez (Temple), C. Sogge (Johns Hopkins), D. Tataru (UC Berkeley)
 
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Strichartz estimates on manifolds with boundary

Thursday August 9, 2007

02:00PM - 03:00PM

Speakers:
Matthew Blair

Abstract:

We consider local Strichartz estimates for the wave equation on a compact Riemannian manifold with boundary. When the boundary of the manifold is empty, such estimates are well-established. Otherwise, when boundary conditions are present, much less is known in the general case.
We discuss new results in the area, widening the range of exponents for which the estimates hold. This is a joint work with H. Smith and C.
Sogge.
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