A Schauder-Tychonoff fixed-point approach for nonlinear Lévy driven reaction-diffusion systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866918248452194304 |
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| author | Hausenblas, Erika Högele, Michael A. Kistosil, Fahim |
| author_facet | Hausenblas, Erika Högele, Michael A. Kistosil, Fahim |
| contents | We show a stochastic version of the Schauder-Tychonoff fixed point theorem which yields a solution of the martingale problem for a class of systems of nonlinear reaction-diffusion equations driven by a cylindrical Wiener process and a Poisson random measure with certain moments. By this type of theorem one can solve systems by linearization which have a possibly unbounded, non-dissipative and non-coercive nonlinearity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00927 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Schauder-Tychonoff fixed-point approach for nonlinear Lévy driven reaction-diffusion systems Hausenblas, Erika Högele, Michael A. Kistosil, Fahim Probability 35K57, 60H15, 37N25, 47H10, 76S05, 92C15 We show a stochastic version of the Schauder-Tychonoff fixed point theorem which yields a solution of the martingale problem for a class of systems of nonlinear reaction-diffusion equations driven by a cylindrical Wiener process and a Poisson random measure with certain moments. By this type of theorem one can solve systems by linearization which have a possibly unbounded, non-dissipative and non-coercive nonlinearity. |
| title | A Schauder-Tychonoff fixed-point approach for nonlinear Lévy driven reaction-diffusion systems |
| topic | Probability 35K57, 60H15, 37N25, 47H10, 76S05, 92C15 |
| url | https://arxiv.org/abs/2312.00927 |