Existence of a solution of the wave equation with nonlinear damping and source terms

Vladimir Georgiev, Grozdena Todorova

研究成果: Article

392 引用 (Scopus)

抜粋

We study the nonlinear wave equation involving the nonlinear damping term ut |ut|m-1 and a source term of type u |u|p-1. For 1 < p ≤ m we prove a global existence theorem with large initial data. For 1 < m < p a blow-up result is established for sufficiently large initial data.

元の言語English
ページ(範囲)295-308
ページ数14
ジャーナルJournal of Differential Equations
109
発行部数2
DOI
出版物ステータスPublished - 1994 4 15

    フィンガープリント

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用