A characteristic initial boundary value problem for a symmetric positive system

Tatsuo Nishitani, Masahiro Takayama

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We study the simplest maximal positive boundary value problem for symmetric positive systems in a bounded open set for which the boundary matrix is not of constant rank. To be precise, the boundary matrix changes the definiteness simply crossing an embedded manifold in the boundary which is the intersection of the boundary with a non-characteristic hypersurface. Assuming that the flow passing the hypersurface compensates for the degeneracy of the boundary matrix on the embedded manifold, we discuss the existence of regular solutions to the boundary value problem.

本文言語English
ページ(範囲)167-182
ページ数16
ジャーナルHokkaido Mathematical Journal
25
1
DOI
出版ステータスPublished - 1996
外部発表はい

ASJC Scopus subject areas

  • 数学一般

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