Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations

Mitsuhiro Nakao

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove the global existence of weak solution pair to the initial boundary value problem for a system of m-Laplacian type diffusion equation and nonlinear wave equation. The interaction of two equations is given through nonlinear source terms f(u,v) and g(u,v).

Original languageEnglish
JournalJournal of Differential Equations
DOIs
Publication statusAccepted/In press - 2017
Externally publishedYes

Keywords

  • Global existence
  • Nonlinear diffusion equation
  • Nonlinear wave equation
  • System

ASJC Scopus subject areas

  • Analysis

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