2019
Том 71
№ 10

All Issues

Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time

Bazalii B. V., Tedeev A. F.

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Abstract

We consider the initial boundary-value Neumann problem for the equation of a porous medium in a domain with noncompact boundary. By using a symmetrization method, we obtain exactL p-estimates, 1≤p≤∞, for solutions as t→∞.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 2, pp 173-186.

Citation Example: Bazalii B. V., Tedeev A. F. Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time // Ukr. Mat. Zh. - 1995. - 47, № 2. - pp. 147–157.

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