Parabolic oblique derivative problem in generalized Morrey spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| Accesso online: | |
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| _version_ | 1866915686885883904 |
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| author | Softova, Lubomira |
| author_facet | Softova, Lubomira |
| contents | We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the strong solution belongs to the corresponding generalized Sobolev-Morrey space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1301_0388 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Parabolic oblique derivative problem in generalized Morrey spaces Softova, Lubomira Analysis of PDEs 35K20, 35D35, 35B45, 35R05 We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the strong solution belongs to the corresponding generalized Sobolev-Morrey space. |
| title | Parabolic oblique derivative problem in generalized Morrey spaces |
| topic | Analysis of PDEs 35K20, 35D35, 35B45, 35R05 |
| url | https://arxiv.org/abs/1301.0388 |