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

Autor:	Majid Zamani, S. Mansour Vaezpour, Erfan Salavati
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	poisson random measure mild solution measure of noncompactness condensing operator Mathematics QA1-939
Zdroj:	Sahand Communications in Mathematical Analysis, Vol 18, Iss 3, Pp 51-68 (2021)
Druh dokumentu:	article
ISSN:	2322-5807 2423-3900 45990077
DOI:	10.22130/scma.2021.520720.884
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8c6f459900774d78b8a4a918e6e1755d Zobrazit plný text záznamu View record in DOAJ