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

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

2002-10-17

arxiv.org/abs/math/0210277v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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

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