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On time decay estimates for solutions of the second mixed problem for a quasilinear parabolic equation
Authors:O M Botsenyuk
Institution:(1) Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv, Ukraine
Abstract:We obtain conditions for the existence of a global solution of the second mixed problem for a quasilinear parabolic equation in an unbounded domain. The estimates for the decay of a solution that depend on the geometry of the domain are established. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 1, pp. 25–32, January–March, 2008.
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