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Stabilization of the solution of the Cauchy problem for a parabolic equation in Nondivergence form with growing lower coefficients

Stabilization of the solution of the Cauchy problem for a parabolic equation in Nondivergence... We study sharp sufficient conditions on the growing lower coefficients of a parabolic equation guaranteeing the stabilization of the solution of the Cauchy problem to zero in some classes of growing initial functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Stabilization of the solution of the Cauchy problem for a parabolic equation in Nondivergence form with growing lower coefficients

Differential Equations , Volume 49 (5) – Jul 12, 2013

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113050054
Publisher site
See Article on Publisher Site

Abstract

We study sharp sufficient conditions on the growing lower coefficients of a parabolic equation guaranteeing the stabilization of the solution of the Cauchy problem to zero in some classes of growing initial functions.

Journal

Differential EquationsSpringer Journals

Published: Jul 12, 2013

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