Stochastic evolution equations with Wick-analytic nonlinearities
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917660237758464 |
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| author | Levajkovic, Tijana Pilipovic, Stevan Selesi, Dora Zigic, Milica |
| author_facet | Levajkovic, Tijana Pilipovic, Stevan Selesi, Dora Zigic, Milica |
| contents | We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stochastic Fisher--KPP equations, stochastic Allen--Cahn, stochastic Newell--Whitehead--Segel, and stochastic Fujita--Gelfand equations. By implementing the theory of $C_0-$semigroups and evolution systems into the chaos expansion theory in infinite dimensional spaces, we prove existence and uniqueness of solutions for this class of stochastic partial differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07348 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stochastic evolution equations with Wick-analytic nonlinearities Levajkovic, Tijana Pilipovic, Stevan Selesi, Dora Zigic, Milica Probability Functional Analysis We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stochastic Fisher--KPP equations, stochastic Allen--Cahn, stochastic Newell--Whitehead--Segel, and stochastic Fujita--Gelfand equations. By implementing the theory of $C_0-$semigroups and evolution systems into the chaos expansion theory in infinite dimensional spaces, we prove existence and uniqueness of solutions for this class of stochastic partial differential equations. |
| title | Stochastic evolution equations with Wick-analytic nonlinearities |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2303.07348 |