Hilbert空间中L'{e}vy噪声驱动的一类spde的存在唯一性

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-08-01 DOI:10.22130/SCMA.2021.520720.884

Majid Zamani, S. M. Vaezpour, Erfan Salavati

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摘要

本文旨在证明由泊松随机测度和具有非lipschitz漂移项的Wiener过程驱动的Hilbert空间中随机演化方程解的存在唯一性。利用非紧性测度理论和压缩算子给出了证明。此外，我们还给出了一些例子来说明我们的主要定理的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces

The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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