$L^p$-$L^q$ estimates for transition semigroups associated to dissipative stochastic systems
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929364106477568 |
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| author | Angiuli, Luciana Bignamini, Davide A. Ferrari, Simone |
| author_facet | Angiuli, Luciana Bignamini, Davide A. Ferrari, Simone |
| contents | In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations. This is done in terms of exponential integrability of Lipschitz functions and some logarithmic Sobolev-type inequalities with respect to invariant measures. The abstract characterization results concerning the improving of summability can be applied to transition semigroups associated to a stochastic reaction-diffusion equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04523 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $L^p$-$L^q$ estimates for transition semigroups associated to dissipative stochastic systems Angiuli, Luciana Bignamini, Davide A. Ferrari, Simone Probability Analysis of PDEs Functional Analysis 28C20, 35J15, 35K58, 46G12, 60H15 In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations. This is done in terms of exponential integrability of Lipschitz functions and some logarithmic Sobolev-type inequalities with respect to invariant measures. The abstract characterization results concerning the improving of summability can be applied to transition semigroups associated to a stochastic reaction-diffusion equations. |
| title | $L^p$-$L^q$ estimates for transition semigroups associated to dissipative stochastic systems |
| topic | Probability Analysis of PDEs Functional Analysis 28C20, 35J15, 35K58, 46G12, 60H15 |
| url | https://arxiv.org/abs/2311.04523 |