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(A,\(\vec O\))-parabolic equations with a weak degeneracy

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Abstract

For quasilinear parabolic equations, admitting a weak fixed parabolicity degeneracy, one establishes theorems for the existence and the uniqueness of generalized solutions of the general (in particular, the first, second, and third) boundaryvalue problem. One considers in special the case of linear parabolic equations with a nonnegative characteristic form.

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Authors
  1. A. V. Ivanov
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Maternaticheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 111, pp. 52–62, 1981.

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Ivanov, A.V. (A,\(\vec O\))-parabolic equations with a weak degeneracy. J Math Sci 24, 30–37 (1984). https://doi.org/10.1007/BF01230262

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  • DOI: https://doi.org/10.1007/BF01230262

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