Maximal Regularity in Interpolation Spaces for Second-order Cauchy Problems

被引：0

作者：

Batty, Charles J. K. ^{[1
]}

Chill, Ralph ^{[2
]}

Srivastava, Sachi ^{[3
]}

机构：

[1] Univ Oxford, St Johns Coll, Oxford OX1 3JP, England

[2] Tech Univ Dresden, Inst Anal, D-01062 Dresden, Germany

[3] Univ Delhi, Dept Math, New Delhi 110021, India

来源：

OPERATOR SEMIGROUPS MEET COMPLEX ANALYSIS, HARMONIC ANALYSIS AND MATHEMATICAL PHYSICS | 2015年 / 250卷

关键词：

Maximal regularity; interpolation spaces; second order; Cauchy problems; ABSTRACT DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; L-P; SUFFICIENT CONDITIONS; PERIODIC-SOLUTIONS; SEMIGROUPS; OPERATORS; DELAY;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study maximal regularity in interpolation spaces for the sum of three closed linear operators on a Banach space, and we apply the abstract results to obtain Besov and Holder maximal regularity for complete second-order Cauchy problems under natural parabolicity assumptions. We discuss applications to partial differential equations.

引用

页码：49 / 66

页数：18

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