Ukrainian Mathematical Journal

, Volume 54, Issue 3, pp 487–495 | Cite as

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

  • E. V. Cheremnykh


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.


Evolution Equation Initial Time Asymptotic Representation 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • E. V. Cheremnykh
    • 1
  1. 1.“L'vivs'ka Politekhnika” UniversityLviv

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