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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.00393 |
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| _version_ | 1866916493303742464 |
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| author | Klimsiak, Tomasz Rozkosz, Andrzej |
| author_facet | Klimsiak, Tomasz Rozkosz, Andrzej |
| contents | We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the classical method of orthogonal projection. We treat in a unified form equations with operators belonging to the broad class of integro-differential operators associated with symmetric regular Dirichlet forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00393 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection Klimsiak, Tomasz Rozkosz, Andrzej Analysis of PDEs We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the classical method of orthogonal projection. We treat in a unified form equations with operators belonging to the broad class of integro-differential operators associated with symmetric regular Dirichlet forms. |
| title | Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2304.00393 |