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

  • E. V. Cheremnykh

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.
Published
25.03.2002
How to Cite
CheremnykhE. V. “On Stability in Time of Space Asymptotics of Solutions of Evolution Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 3, Mar. 2002, pp. 395-01, https://umj.imath.kiev.ua/index.php/umj/article/view/4075.
Section
Research articles