2017
Том 69
№ 9

All Issues

Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source

Afanaseva N. V., Tedeev A. F.

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Abstract

We consider the Cauchy problem for a doubly nonlinear degenerate parabolic equation with nonlocal source under the assumption that the initial function is integrable. We establish the existence and nonexistence of time-global solutions of the problem.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 11, pp 1687-1711.

Citation Example: Afanaseva N. V., Tedeev A. F. Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source // Ukr. Mat. Zh. - 2005. - 57, № 11. - pp. 1443–1464.

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