Stabilization of Solutions of Cauchy Problems for Divergence-Free Parabolic Equations with Decreasing Minor Coefficients

Exact sufficient conditions on minor coefficients of parabolic equation are considered in this work. These conditions guarantee the stabilization of solutions of the Cauchy problem to zero in some classes of increasing initial functions.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-09, Vol.201 (5), p.581-594
Main Author: Denisov, V. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Exact sufficient conditions on minor coefficients of parabolic equation are considered in this work. These conditions guarantee the stabilization of solutions of the Cauchy problem to zero in some classes of increasing initial functions.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-2013-x