On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:500

Article

Tsutaya, Kimitoshi¹  Wakasugi, Yuta² 

[1] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

[2] Hiroshima Univ, Grad Sch Engn, Higashihiroshima 7398527, Japan

关键词: Wave equation;    FLRW;    Blow-up;    Lifespan;   

DOI  :  10.1016/j.jmaa.2021.125133

来源: Elsevier

【 摘 要 】

Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lemaitre-Robertson-Walker spacetimes. We treat the so-called heatlike case where the critical exponent is affected by the Fujita exponent. We show upper bounds of the lifespan of blow-up solutions by distinguishing subcritical and critical cases. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free