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Classical Solvability of the First Initial Boundary-Value Problem for a Nonlinear Strongly Degenerate Parabolic Equation

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Abstract

We prove the existence of a classical solution global in time for the first initial boundary-value problem for a nonlinear strongly degenerate parabolic equation.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1299 – 1320, October, 2004.

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Bazalii, B.V., Krasnoshchek, N.V. Classical Solvability of the First Initial Boundary-Value Problem for a Nonlinear Strongly Degenerate Parabolic Equation. Ukr Math J 56, 1547–1573 (2004). https://doi.org/10.1007/s11253-005-0134-6

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Keywords

  • Parabolic Equation
  • Classical Solution
  • Degenerate Parabolic Equation
  • Classical Solvability