Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms

Alessandro Palmieri, Hiroyuki Takamura

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped wave equations in the scattering case with nonlinearities of mixed type. The proof of the blow-up results is based on an iteration argument. We find as critical curve for the pair of exponents (p, q) in the nonlinear terms the same one found for the weakly coupled system of semilinear wave equations with the same kind of nonlinearities. In the critical and not-damped case we combine an iteration argument with the so-called slicing method to show the blow-up dynamic of a weighted version of the functionals used in the subcritical case.

本文言語English
論文番号58
ジャーナルNonlinear Differential Equations and Applications
27
6
DOI
出版ステータスPublished - 2020 12 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

フィンガープリント

「Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル