Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent

Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent

In this paper, we prove the Hölder continuity of solutions of parabolic equations containing the p ( x, t )-Laplacian. The degree p must satisfy the so-called logarithmic condition.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-12, Vol.179 (3), p.347-389
Hauptverfasser: Alkhutov, Yu. A., Zhikov, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we prove the Hölder continuity of solutions of parabolic equations containing the p ( x, t )-Laplacian. The degree p must satisfy the so-called logarithmic condition.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0599-9