On Stability in Time of Space Asymptotics of Solutions of Evolution Equations
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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.
KeywordsEvolution Equation Initial Time Asymptotic Representation
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