R-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

Robert Denk, Matthias Georg Hieber, Jan Prüss

研究成果: Article査読

485 被引用数 (Scopus)

抄録

The property of maximal Lp-regularity for parabolic evolution equations is investigated via the concept of R-sectorial operators and operator-valued Fourier multipliers. As application, we consider the L q-realization of an elliptic boundary value problem of order 2m with operator-valued coefficients subject to general boundary conditions. We show that there is maximal Lp-Lq-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.

本文言語English
ジャーナルMemoirs of the American Mathematical Society
788
出版ステータスPublished - 2003 11
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント 「R-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル