Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity

被引：32

作者：

Denk, R. ^{[1
]}

Saal, J. ^{[1
]}

Seiler, J. ^{[2
]}

机构：

[1] Univ Konstanz, Facbereich Math & Stat, D-78457 Constance, Germany

[2] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 15卷 / 02期

关键词：

D O I：

10.1134/S1061920808020040

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove a maximal regularity result for operators corresponding to rotation invariant symbols (in space) which are inhomogeneous in space and time. Symbols of this type frequently arise in the treatment of half-space models for (free) boundary-value problems. The result is obtained by extending the Newton polygon approach to variables living in complex sectors and combining it with abstract results on the H-infinity-calculus and R-bounded operator families. As an application, we derive maximal regularity for the linearized Stefan problem with Gibbs-Thomson correction.

引用

页码：171 / 191

页数：21

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