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The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations

The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R N for any bounded initial function. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Mathematical Sciences Springer Journals

The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations

Denisov, V.
Journal of Mathematical Sciences , Volume 232 (3) – Jun 2, 2018
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11 pages

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1072-3374
eISSN
1573-8795
DOI
10.1007/s10958-018-3876-z
Publisher site
See Article on Publisher Site

Abstract

We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R N for any bounded initial function.

Journal

Journal of Mathematical Sciences – Springer Journals

Published: Jun 2, 2018

References

  • Linear equations of the second order of parabolic type
    Il’in, AM; Kalashnikov, AS; Oleinik, OA
  • Partial Differential Equations of Parabolic Type
    Friedman, A
  • Stabilization of solutions of Cauchy problems for divergence-free parabolic equations with decreasing minor coefficients
    Denisov, VN
  • On the speed of stabilization of the solutions of a boundary problem for a parabolic equation
    Gushchin, AK
  • The stabilization rate of a solution to the Cauchy problem for a parabolic equation with lower order coefficient
    Denisov, VN
  • On the behavior of solutions of parabolic equations for large values of time
    Denisov, VN