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.
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Sprache:eng
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Mathematics and Statistics
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container_title Journal of mathematical sciences (New York, N.Y.)
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creator Alkhutov, Yu. A.
Zhikov, V. V.
description 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.
doi_str_mv 10.1007/s10958-011-0599-9
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title Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent
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