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On the pathwise uniqueness for a class of SPDEs driven by Lévy noise in Hilbert spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 15، دوره 15، شماره 1، فروردین 2024، صفحه 179-190 اصل مقاله (412.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24050.2661 | ||
| نویسندگان | ||
| Majid Zamani؛ S. Mansour Vaezpour* ؛ Erfan Salavati | ||
| Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran | ||
| تاریخ دریافت: 01 مرداد 1400، تاریخ بازنگری: 14 مرداد 1400، تاریخ پذیرش: 10 شهریور 1400 | ||
| چکیده | ||
| This paper seeks to prove the pathwise uniqueness of an abstract stochastic partial differential equation in Hilbert spaces driven by both Poisson random measure and the Wiener process with Hölder continuous drift. The main idea is based on the corresponding infinite-dimensional Kolmogorov equation. In addition, the main result is further supported by the help of an example. | ||
| کلیدواژهها | ||
| Poisson Random Measure؛ Pathwise Uniqueness؛ Infinite Dimensional Kolmogorov Equations؛ Lévy Noise | ||
| مراجع | ||
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