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

Yoshiyuki Kagei, Shuichi Kawashima

研究成果: Article

22 引用 (Scopus)

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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.

元の言語English
ページ(範囲)195-232
ページ数38
ジャーナルJournal of Hyperbolic Differential Equations
3
発行部数2
DOI
出版物ステータスPublished - 2006 6 1

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

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