Pathwise uniqueness for stochastic evolution equations with Holder drift and stable L,vy noise

被引：0

作者：

Yang, Desheng ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2018年 / 25卷 / 03期

关键词：

Pathwise uniqueness; Stocastic PDEs; Stable process; Kolmogorov operators; MEASURABLE DRIFT; SPACES;

D O I：

10.1007/s00030-018-0511-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the pathwise uniqueness of solutions to stochastic evolution equations in Hilbert spaces with the alpha-stable Levy noise and a bounded beta-Holder continuous drift term. The proof is based on the regularity results of resolvent equations associated to Kolmogorov operators.

引用

页数：17

共 47 条

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Desheng Yang
Nonlinear Differential Equations and Applications NoDEA, 2018, 25
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Mytnik, Leonid
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PROBABILITY THEORY AND RELATED FIELDS, 2011, 149 (1-2) : 1 - 96
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THEORY OF PROBABILITY AND ITS APPLICATIONS, 2001, 46 (03) : 406 - 419
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Bass, RF
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STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2004, 111 (01) : 1 - 15

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