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On Stability in Time of Space Asymptotics of Solutions of Evolution Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain solutions of the heat-conduction equation on a semi-axis that preserve in time the asymptotic representation of the function that determines a solution at initial time. This property is preserved in the presence of a complex-valued power-decreasing potential. We present an estimate for the rate of “destruction” of the structure of a solution.

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  1. “L'vivs'ka Politekhnika” University, Lviv

    E. V. Cheremnykh

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  1. E. V. Cheremnykh
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Cheremnykh, E.V. On Stability in Time of Space Asymptotics of Solutions of Evolution Equations. Ukrainian Mathematical Journal 54, 487–495 (2002). https://doi.org/10.1023/A:1020573719015

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  • DOI: https://doi.org/10.1023/A:1020573719015

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