Once again on evolution equations with monotone operators in Hilbert spaces and applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914958389805056 |
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| author | Gyöngy, István Krylov, Nicolai V. |
| author_facet | Gyöngy, István Krylov, Nicolai V. |
| contents | Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of linear second order stochastic partial differential equations in $L_{p}$-setting with singular lower order coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18242 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Once again on evolution equations with monotone operators in Hilbert spaces and applications Gyöngy, István Krylov, Nicolai V. Probability 60H15, 35R60 Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of linear second order stochastic partial differential equations in $L_{p}$-setting with singular lower order coefficients. |
| title | Once again on evolution equations with monotone operators in Hilbert spaces and applications |
| topic | Probability 60H15, 35R60 |
| url | https://arxiv.org/abs/2409.18242 |