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Sharp counterexamples for Strichartz estimates for low regularity metrics

By Hart F. Smith and Daniel Tataru

Abstract

In this paper we produce examples of time independent Cs metrics, for 0 ≤ s ≤ 2, and solutions u to the wave equation for such metrics, which establish sharp lower bounds on the index of the Sobolev norm of the initial data of u required to bound mixed LpLq norms of u

Year: 2002
OAI identifier: oai:CiteSeerX.psu:10.1.1.161.6663
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