2017
Том 69
№ 6

All Issues

On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

Degtyarev S. P.

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Abstract

We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In terms of the behavior of locally integrable initial data, we formulate necessary and sufficient conditions for the realization of instantaneous shrinking and establish the exact (in order) bilateral estimates for the size of the support of solution.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 5, pp 747-763.

Citation Example: Degtyarev S. P. On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation // Ukr. Mat. Zh. - 2009. - 61, № 5. - pp. 625-640.

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