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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In memory of V. V. Zhikov
Translated from Problemy Matematicheskogo Analiza 92, 2018, pp. 113-121.
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Denisov, V.N. The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations. J Math Sci 232, 338–348 (2018). https://doi.org/10.1007/s10958-018-3876-z
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DOI: https://doi.org/10.1007/s10958-018-3876-z