Necessary Conditions for Stabilization of Solutions to the Dirichlet Problem for Divergence Parabolic Equations


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Abstract

We establish necessary conditions for the stabilization to zero of solutions to the Dirichlet problem for a parabolic equation with elliptic operator of divergence form and coefficients depending on x and t.

About the authors

V. N. Denisov

Moscow State University

Author for correspondence.
Email: vdenisov2008@yandex.ru
Russian Federation, Moscow, 119991

A. A. Martynova

Vladimir State University

Email: vdenisov2008@yandex.ru
Russian Federation, 87, ul. Gor’kogo, Vladimir, 600000

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