The Stabilization Rate of Solutions to Parabolic Equations

We estimate the difference between the solution to the Cauchy problem for a inhomogeneous heat equation and the Riesz means for large time provided that the right-hand side of the heat equation has at most power growth at infinity. Bibliography: 8 titles.

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.249 (6), p.911-917
Main Authors: Denisov, V. N., Shelepova, E. V.
Format: Article
Language:English
Subjects:
Cauchy problems
Mathematics
Mathematics and Statistics
Thermodynamics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We estimate the difference between the solution to the Cauchy problem for a inhomogeneous heat equation and the Riesz means for large time provided that the right-hand side of the heat equation has at most power growth at infinity. Bibliography: 8 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04983-y