论文标题
“与局部单调系数的半线性随机部分偏微分方程的轻度溶液”附录
An addendum to "Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients"
论文作者
论文摘要
在此附录中，我们为通过局部单调系数的Semigroup方法的框架中的Wiener过程和Poisson随机度量驱动的半连接随机部分偏微分方程的轻度解决方案提供了一个存在和唯一性的结果，在该框架中，该方程允许Semogroup允许Semogroup进行伪造。这改善了作者的早期论文，该论文仅由维纳过程驱动，而在该方程仅允许半群成为宫缩的半群。
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.
