Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
In this paper we consider an initial boundary value problem for the timefractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces.
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| Datum: | 2016 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/140547 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion / M.V. Krasnoschok // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 1. — С. 48-77. — Бібліогр.: 24 назв. — англ. . |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In this paper we consider an initial boundary value problem for the timefractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces. |
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