Generalized Morrey regularity for parabolic equations with discontinuity data
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2012
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| Acceso en línea: | |
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| _version_ | 1866912755155468288 |
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| author | Guliyev, Vagif S. Softova, Lubomira G. |
| author_facet | Guliyev, Vagif S. Softova, Lubomira G. |
| contents | We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calderón-Zygmund operators and its commutator with $VMO$ functions. The obtained estimates are used to study global regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations with discontinuous coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1210_6566 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Generalized Morrey regularity for parabolic equations with discontinuity data Guliyev, Vagif S. Softova, Lubomira G. Analysis of PDEs Functional Analysis 35K15, 42B20 We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calderón-Zygmund operators and its commutator with $VMO$ functions. The obtained estimates are used to study global regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations with discontinuous coefficients. |
| title | Generalized Morrey regularity for parabolic equations with discontinuity data |
| topic | Analysis of PDEs Functional Analysis 35K15, 42B20 |
| url | https://arxiv.org/abs/1210.6566 |