Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system

Yoshiyuki Kagei, Shuichi Kawashima

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in Hs, where s is an integer satisfying s > [n/2]+1.

Original languageEnglish
Pages (from-to)195-232
Number of pages38
JournalJournal of Hyperbolic Differential Equations
Volume3
Issue number2
DOIs
Publication statusPublished - 2006 Jun 1
Externally publishedYes

Fingerprint

Local Solvability
Parabolic Systems
Hyperbolic Systems
Transport Equation
Initial-boundary-value Problem
Solvability
Existence of Solutions
Continuous Function
Integer
Class

Keywords

  • Initial boundary value problem
  • Local solvability
  • Quasilinear hyperbolic-parabolic system

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

Cite this

Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. / Kagei, Yoshiyuki; Kawashima, Shuichi.

In: Journal of Hyperbolic Differential Equations, Vol. 3, No. 2, 01.06.2006, p. 195-232.

Research output: Contribution to journalArticle

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