On Stability in Time of Space Asymptotics of Solutions of Evolution Equations
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.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 3, pp 487-495.
Citation Example: Cheremnykh E. V. On Stability in Time of Space Asymptotics of Solutions of Evolution Equations // Ukr. Mat. Zh. - 2002. - 54, № 3. - pp. 395-401.