Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Palmieri, Alessandro¹  Tu, Ziheng² 

[1] Tech Univ Bergakad Freiberg, Fac Math & Comp Sci, Inst Appl Anal, Pruferstr 9, D-09596 Freiberg, Germany

[2] Zhejiang Univ Finance & Econ, Sch Data Sci, Hangzhou 310018, Zhejiang, Peoples R China

关键词: Semilinear wave equation;    Strauss exponent;    Blow-up;    Lifespan;   

DOI  :  10.1016/j.jmaa.2018.10.015

来源: Elsevier

【 摘 要 】

In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow wave-like. A Strauss type critical exponent is determined as the upper bound for the exponent in the nonlinearity in the main theorems. Two blow-up results are obtained for the subcritical case and for the critical case, respectively. In both cases, an upper bound lifespan estimate is given. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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