TY - JOUR
AU - E. V. Cheremnykh
PY - 2002/03/25
Y2 - 2024/06/21
TI - On Stability in Time of Space Asymptotics of Solutions of Evolution Equations
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 54
IS - 3
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/4075
AB - 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.
ER -