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Counter examples to Strichartz estimates for the wave equation

By Oana Ivanovici

Abstract

Let Ω be the upper half plane {(x, y) ∈ R 2, x> 0, y ∈ R}. Define the Laplacian on Ω to be ∆D = ∂ 2 x + (1 + x) ∂ 2 y, together with Dirichlet boundary conditions on ∂Ω: one may easily see that Ω, with the metric inherited from ∆D, is a strictly convex domain. We shall prov

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.313.3751
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