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Hölder estimates near the boundary for generalized solutions of quasilinear, doubly degenerate, parabolic equations

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Abstract

One establishes Hölder estimates near the parabolic boundary of a cylinder QT for the generalized solutions of quasilinear, doubly degenerate, parabolic equations.

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Authors
  1. A. V. Ivanov
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova Akademii Nauk SSSR, Vol. 188, pp. 45–69, 1991.

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Ivanov, A.V. Hölder estimates near the boundary for generalized solutions of quasilinear, doubly degenerate, parabolic equations. J Math Sci 70, 1747–1766 (1994). https://doi.org/10.1007/BF02149146

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