Concerning the Strauss conjecture on asymptotically Euclidean manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Wang, Chengbo¹  Yu, Xin¹ 

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

关键词: Strauss conjecture;    KSS estimates (Keel-Smith-Sogge estimates);    Weighted Strichartz estimates;   

DOI  :  10.1016/j.jmaa.2011.01.053

来源: Elsevier

【 摘 要 】

In this paper we verify the Strauss conjecture for semilinear wave equations on asymptotically Euclidean manifolds when n = 3, 4. We also give an almost sharp lifespan for the subcritical case 2 <= p < p(c) when n = 3. The main ingredients include a Keel-Smith-Sogge type estimate with 0 < mu < 1/2 and weighted Strichartz estimates of order two. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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