Integrated semigroups and the cauchy problem for systems in Lp spaces

Matthias Georg Hieber

研究成果: Article査読

9 被引用数 (Scopus)

抄録

In this note we prove that (under suitable hypotheses) every homogeneous differential operator on Lp(Rn)N, corresponding to a system which is well-posed in L2(Rn)N, generates an α-times integrated semigroup on Lp(Rn)N (1 <p <∞) whenever α > n | 1 2 - 1 p|. For some special systems of mathematical physics, such as the wave equation or Maxwell's equations this constant can be improved to be (n - 1) | 1 2 - 1 p|.

本文言語English
ページ(範囲)300-308
ページ数9
ジャーナルJournal of Mathematical Analysis and Applications
162
1
DOI
出版ステータスPublished - 1991 11 15
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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