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May/June 2011 Generalized Strichartz estimates on perturbed wave equation and applications on Strauss conjecture
Xin Yu
Differential Integral Equations 24(5/6): 443-468 (May/June 2011).

Abstract

In this paper we prove a general Strichartz estimate for certain perturbed wave equations, and here we can drop the nontrapping hypothesis and handle trapping obstacles with some loss of derivatives for data in the local energy decay estimates. We then give the obstacle version of the sharp life span for semilinear wave equations when $n=3,p<p_c$, by using the real interpolation method, and by getting corresponding finite time Strichartz estimates (see Section 3). Finally, as another application, we get the Strauss conjecture for semilinear wave equations with several convex obstacles when $n=3,4$ (see Section 4).

Citation

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Xin Yu. "Generalized Strichartz estimates on perturbed wave equation and applications on Strauss conjecture." Differential Integral Equations 24 (5/6) 443 - 468, May/June 2011.

Information

Published: May/June 2011
First available in Project Euclid: 20 December 2012

zbMATH: 1249.35224
MathSciNet: MR2809616

Subjects:
Primary: 35B20, 35B33, 35B65, 35L05

Rights: Copyright © 2011 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.24 • No. 5/6 • May/June 2011
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