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

Fingerprint

Nonlinear Source
Nonlinear Diffusion Equation
Existence of Weak Solutions
Nonlinear Wave Equation
Wave equations
Source Terms
Diffusion equation
Global Existence
Initial-boundary-value Problem
Boundary value problems
Interaction

Keywords

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

ASJC Scopus subject areas

  • Analysis

Cite this

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title = "Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations",
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).",
keywords = "Global existence, Nonlinear diffusion equation, Nonlinear wave equation, System",
author = "Mitsuhiro Nakao",
year = "2017",
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language = "English",
journal = "Journal of Differential Equations",
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KW - Nonlinear wave equation

KW - System

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