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On Large-Time Behavior of Solutions of Parabolic Nondivergent Equations with Increasing Principal Coefficients

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We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity… Click to show full abstract

We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity as a power function.

Keywords: large time; time behavior; principal coefficients; equations increasing; increasing principal; behavior solutions

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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