On long-time asymptotics of solutions of parabolic equations with increasing leading coefficients
- Authors: Denisov V.N.1
-
Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 96, No 1 (2017)
- Pages: 308-311
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225177
- DOI: https://doi.org/10.1134/S1064562417040020
- ID: 225177
Cite item
Abstract
Sharp sufficient conditions on the coefficients of a second-order parabolic equation are examined under which the solution of the corresponding Cauchy problem with a power-law growing initial function stabilizes to zero. An example is presented showing that the found sufficient conditions are sharp. Conditions on the coefficients of a parabolic equation are obtained under which the solution of the Cauchy problem with a bounded initial function stabilizes to zero at a power law rate.
About the authors
V. N. Denisov
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: vdenisov2008@yandex.ru
Russian Federation, Moscow, 119992