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Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data

  • Published:2020-11 Issue: Volume:200 Page:112057
  • ISSN:0362-546X
  • Container-title:Nonlinear Analysis
  • language:en
  • Short-container-title:Nonlinear Analysis

Author:

Ikeda Masahiro,Tanaka Tomoyuki,Wakasa Kyouhei

Funder

JST CREST, Japan

Grant-in-Aid for Scientific Research (B), Japan

Young Scientists Research

RIKEN, Japan

Grant-in-Aid for JSPS Research Fellow, Japan

Young Scientists Research, Japan

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. Existence of a global solution to a semi-linear wave equation with slowly decaying initial data in three space dimensions;Asakura;Comm. Partial Differential Equations,1986

2. The threshold of effective damping for semilinear wave equations;D’Abbicco;Math. Methods Appl. Sci.,2015

3. A shift in the strauss exponent for semilinear wave equations with a not effective damping;D’Abbicco;J. Differential Equations,2015

4. Small data scattering and blow-up for a wave equation with a cubic convolution;Hidano;Funkcial. Ekvac.,2000

5. Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data;Ikeda;Math. Ann.,2018

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