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.

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-07, Vol.232 (3), p.338-348
Main Author: Denisov, V. N.
Format: Article
Language:English
Subjects:
CAUCHY PROBLEM
Cauchy problems
EQUATIONS
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL SOLUTIONS
Mathematics
Mathematics and Statistics
STABILIZATION
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3876-z