Existence and non-existence of global solutions to initial boundary value problems for nonlinear evolution equations with strong dissipation

Akisato Kubo, Jean Pierre Lohéac

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The main purpose in this paper is to investigate existence and non-existence of global solutions of the initial Dirichlet boundary value problem for evolution equations with strong dissipation. Many authors studied classes consisting of such types of equations for which initial boundary value problems possess global solutions. For this purpose we consider a related problem and seek global solutions and blow-up solutions of it depending on whether it belongs to such classes or not.

Original languageEnglish
Pages (from-to)e2797-e2806
JournalNonlinear Analysis, Theory, Methods and Applications
Volume71
Issue number12
DOIs
Publication statusPublished - 15-12-2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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