2019
Том 71
№ 9

All Issues

Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation

Tedeev A. F.

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Abstract

We establish exact upper and lower bounds as $t \rightarrow \infty$ for the norm ‖u(·, t)‖ L ∞(Ω) of a solution of the Neumann problem for a second-order quasilinear parabolic equation in the region D=Ω×{>0}, where Ω is a region with noncompact boundary.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 7, pp 1119-1130.

Citation Example: Tedeev A. F. Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation // Ukr. Mat. Zh. - 1996. - 48, № 7. - pp. 989-998.

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