Maximal -regularity

被引：0

作者：

van Neerven, Jan ^{[1
]}

Veraar, Mark ^{[1
]}

Weis, Lutz ^{[2
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, NL-2600 GA Delft, Netherlands

[2] Univ Karlsruhe TH, Inst Anal, D-76128 Karlsruhe, Germany

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2015年 / 15卷 / 02期

关键词：

Maximal regularity; Evolution equations; Stochastic convolution; gamma-boundedness; H-infinity-functional calculus; gamma-spaces; PARTIAL-DIFFERENTIAL-EQUATIONS; FOURIER MULTIPLIER THEOREMS; H-INFINITY-CALCULUS; L-P-REGULARITY; STOCHASTIC INTEGRATION; SPACES; INTERPOLATION; EMBEDDINGS; TRACES; SUMS;

D O I：

10.1007/s00028-014-0264-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove maximal regularity estimates in "square function spaces" which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in L (p) -spaces with . For stochastic equations, the case 1 < p < 2 was not covered in the literature so far. Moreover, the "square function spaces" allow initial values with the same roughness as in the L (2)-setting.

引用

页码：361 / 402

页数：42

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