Abstract
Initial boundary-value problems are considered for equations of porous medium andp-Laplace types. By using the Schwarz symmetrization method, theL p-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 884–892, July, 1993.
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Bazalii, B.V., Tedeev, A.F. Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations. Ukr Math J 45, 976–986 (1993). https://doi.org/10.1007/BF01057444
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DOI: https://doi.org/10.1007/BF01057444