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 opera...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2021-08-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf |
| _version_ | 1818606597769789440 |
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| author | Majid Zamani S. Mansour Vaezpour Erfan Salavati |
| author_facet | Majid Zamani S. Mansour Vaezpour Erfan Salavati |
| author_sort | Majid Zamani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T14:13:23Z |
| format | Article |
| id | doaj.art-8c6f459900774d78b8a4a918e6e1755d |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-16T14:13:23Z |
| publishDate | 2021-08-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-8c6f459900774d78b8a4a918e6e1755d2022-12-21T22:28:42ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002021-08-01183516810.22130/scma.2021.520720.884244940Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert SpacesMajid Zamani0S. Mansour Vaezpour1Erfan Salavati2Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.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.https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdfpoisson random measuremild solutionmeasure of noncompactnesscondensing operator |
| spellingShingle | Majid Zamani S. Mansour Vaezpour Erfan Salavati Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces Sahand Communications in Mathematical Analysis poisson random measure mild solution measure of noncompactness condensing operator |
| title | Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces |
| title_full | Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces |
| title_fullStr | Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces |
| title_full_unstemmed | Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces |
| title_short | Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces |
| title_sort | existence and uniqueness for a class of spdes driven by l e vy noise in hilbert spaces |
| topic | poisson random measure mild solution measure of noncompactness condensing operator |
| url | https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf |
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