Stability properties of stochastic maximal LP-regularity

被引：12

作者：

Agresti, Antonio ^{[1
]}

Veraar, Mark ^{[2
]}

机构：

[1] Sapienza Univ Rome, Dept Math Guido Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy

[2] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 482卷 / 02期

关键词：

Stochastic maximal regularity; Analytic semigroup; Sobolev spaces; Temporal weights; FOURIER MULTIPLIER THEOREMS; PARABOLIC EVOLUTION-EQUATIONS; SINGULAR INTEGRAL-OPERATORS; VALUED BESOV-SPACES; WEISS CONJECTURE; INTERPOLATION; EMBEDDINGS; TRACES;

D O I：

10.1016/j.jmaa.2019.123553

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider L-P-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal L-P-regularity. Our aim is to find a theory which is analogously to Dore's theory for deterministic evolution equations. He has shown that maximal L-P-regularity is independent of the length of the time interval, implies analyticity and exponential stability of the semigroup, is stable under perturbation and many more properties. We show that the stochastic versions of these results hold. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：35

共 56 条

[1] Agresti A., 2018, ARXIV180206395
[2] Amann H, 1997, MATH NACHR, V186, P5
[3] Arendt W, 2002, Handbook of Differential Equations: Evolutionary Equations, V1, P1
[4] Bergh J., 1976, Interpolation spaces. An introduction
[5] Brzezniak Z., 1997, Stoch. Int. J. Probab. Stoch. Process., V61, P245
[6] Weighted inequalities for singular integral operators on the half-line
Chill, Ralph
Krol, Sebastian
[J]. STUDIA MATHEMATICA, 2018, 243 (02) : 171 - 206
[7] Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces
Chill, Ralph
Fiorenza, Alberto
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2014, 14 (4-5) : 795 - 828
[8] Da Prato G., 1992, ENCY MATH ITS APPL, V44
[9] New thoughts on old results of R.T.!Seeley
Denk, R
Dore, G
Hieber, M
Prüss, J
Venni, A
[J]. MATHEMATISCHE ANNALEN, 2004, 328 (04) : 545 - 583
[10] Denk R, 2003, MEM AM MATH SOC, V166, P1

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