Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients

IF 0.4 Q4 STATISTICS & PROBABILITY Theory of Probability and Mathematical Statistics Pub Date : 2021-04-21 DOI:10.1090/tpms/1149
Stefan Tappe
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引用次数: 1

Abstract

In this addendum we provide an existence and uniqueness result for mild solutions to semilinear stochastic partial differential equations driven by Wiener processes and Poisson random measures in the framework of the semigroup approach with locally monotone coefficients, where the semigroup is allowed to be pseudo-contractive. This improves an earlier paper of the author, where the equation was only driven by Wiener processes, and where the semigroup was only allowed to be a semigroup of contractions.
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具有局部单调系数的半线性随机偏微分方程的温和解
在局部单调系数半群方法的框架下,我们给出了由Wiener过程和Poisson随机测度驱动的半线性随机偏微分方程的温和解的存在唯一性结果,其中半群是伪压缩的。这改进了作者早期的一篇论文,其中方程仅由维纳过程驱动,并且其中半群仅被允许是收缩的半群。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
22
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