Schauder regularity results in separable Hilbert spaces

被引:3
|
作者
Bignamini, Davide A. [1 ]
Ferrari, Simone [2 ]
机构
[1] Univ Insubria, Dipartimento Sci & Alta Tecnol DISAT, Via Valleggio 11, I-22100 Como, Italy
[2] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Arnesano, I-73100 Lecce, Italy
关键词
Bismut-Elworthy-Li formulae; Evolution equations; Schauder estimates; Semilinear stochastic partial differential equations; Stationary equations; Zygmund spaces; STOCHASTIC-EQUATIONS; PARABOLIC EQUATIONS; SEMIGROUPS; THEOREMS;
D O I
10.1016/j.jde.2023.06.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove Schauder type estimates for solutions of stationary and evolution equations driven by weak generators of transition semigroups associated to a semilinear stochastic partial differential equations with values in a separable Hilbert space.& COPY; 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码:305 / 345
页数:41
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