This article is cited in 1 paper

MATHEMATICS

On stabilization of the Poisson integral and Tikhonov–Stieltjes means: two-sided estimate

V. N. Denisov

Lomonosov Moscow State University, Moscow, Russian Federation

Abstract: We establish two-sided estimates for the proximity, as $t\to\infty$, of the Poisson integral representing the solution of the Cauchy problem for the heat equation to modified Tikhonov–Stieltjes means of the initial function. Order-sharp two-sided estimates in some classes of initial functions are described.

Keywords: stabilization, heat equation, Cauchy problem.

UDC: 517.95

Presented: E. I. Moiseev
Received: 27.11.2020
Revised: 29.12.2020
Accepted: 29.12.2020

DOI: 10.31857/S2686954321010033

 English version: Doklady Mathematics, 2021, 103:1, 32–34

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