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

Akisato Kubo, Jean Pierre Lohéac

研究成果: Article

1 引用 (Scopus)

抄録

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.

元の言語English
ジャーナルNonlinear Analysis, Theory, Methods and Applications
71
発行部数12
DOI
出版物ステータスPublished - 15-12-2009

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Nonlinear Evolution Equations
Global Solution
Initial-boundary-value Problem
Boundary value problems
Nonexistence
Dissipation
Dirichlet Boundary Value Problem
Blow-up of Solutions
Evolution Equation
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

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