Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term

Ning An Lai, Nico Michele Schiavone, Hiroyuki Takamura

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which are the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages217-240
Number of pages24
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

ASJC Scopus subject areas

  • Mathematics(all)

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    Lai, N. A., Schiavone, N. M., & Takamura, H. (2019). Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term. In Trends in Mathematics (pp. 217-240). (Trends in Mathematics). Springer International Publishing. https://doi.org/10.1007/978-3-030-10937-0_8