Stability of solutions of semilinear evolution equations with integro-differential operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918322212175872 |
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| author | Rozkosz, Andrzej Słomiński, Leszek |
| author_facet | Rozkosz, Andrzej Słomiński, Leszek |
| contents | We consider solutions of the Cauchy problem for semilinear equations with (possibly) different Lévy operators. We provide various results on their convergence under the assumption that symbols of the involved operators converge to the symbol of some Lévy operator. Some results are proved for a more general class of pseudodifferential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of solutions of semilinear evolution equations with integro-differential operators Rozkosz, Andrzej Słomiński, Leszek Analysis of PDEs Probability Primary 35K58, 35R11, Secondary 60H30 We consider solutions of the Cauchy problem for semilinear equations with (possibly) different Lévy operators. We provide various results on their convergence under the assumption that symbols of the involved operators converge to the symbol of some Lévy operator. Some results are proved for a more general class of pseudodifferential operators. |
| title | Stability of solutions of semilinear evolution equations with integro-differential operators |
| topic | Analysis of PDEs Probability Primary 35K58, 35R11, Secondary 60H30 |
| url | https://arxiv.org/abs/2407.06666 |