A note on stochastic semilinear dissipative evolution equations
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914212512530432 |
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| author | Marinelli, Carlo |
| author_facet | Marinelli, Carlo |
| contents | Existence and uniqueness of mild solutions to a class of semilinear stochastic evolution equations with additive noise is proved. The linear part of the drift term is the generator of a compact semigroup of contractions, while the nonlinear part is only assumed to be the superposition operator associated to a decreasing function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on stochastic semilinear dissipative evolution equations Marinelli, Carlo Probability Analysis of PDEs Existence and uniqueness of mild solutions to a class of semilinear stochastic evolution equations with additive noise is proved. The linear part of the drift term is the generator of a compact semigroup of contractions, while the nonlinear part is only assumed to be the superposition operator associated to a decreasing function. |
| title | A note on stochastic semilinear dissipative evolution equations |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2512.18398 |