Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge

By Nicolas Burq. 2002

95 citations recorded by the source corpus.

Abstract The purpose of this note is to present an alternative proof of a result by H. Smith and C. Sogge showing that in odd dimension of space, local (in time) Strichartz estimates and exponential decay of the local energy for solutions to wave equations imply global Strichartz estimates. Our proof allows to extend the result to the case of even dimensions of space.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/78333e113839a9550f15f86ab4fdd9b4e2457666

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

Decay estimates for variable coefficient wave equations in exterior domains (2008, methodology): “and using these estimates, global estimates were constructed in [20] for n odd and [3] and [14] for general n.”
On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles (2008, background): “A key step in the proof of Theorem 1.4 will be to establish the following result that is implicit in [4].”