@article{Cheremnykh_2002, title={On Stability in Time of Space Asymptotics of Solutions of Evolution Equations}, volume={54}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4075}, abstractNote={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.}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Cheremnykh, E. V.}, year={2002}, month={Mar.}, pages={395-401} }