Brzezniak, Zdzislaw orcid.org/0000-0001-8731-6523 Nonlinear Stochastic Partial Differential Equations of hyperbolic type driven by L\'{e}vy-type noises. Working Paper. (Unpublished)
Abstract
We study a class of abstract nonlinear stochastic equations of hyperbolic type driven by jump noises, which covers both beam equations with nonlocal, nonlinear terms and nonlinear wave equations. We derive an It\^{o} formula for the local mild solution which plays an important role in the proof of our main results. Under appropriate conditions, we prove the non-explosion and the asymptotic stability of the mild solution.
Metadata
Authors/Creators: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 09 May 2016 08:26 |
Last Modified: | 31 Jan 2024 01:27 |
Status: | Unpublished |
Refereed: | No |
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