The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations


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Abstract

We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of RN for any bounded initial function.

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V. N. Denisov

Lomonosov Moscow State University

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

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