On long-time asymptotics of solutions of parabolic equations with increasing leading coefficients
- 作者: Denisov V.1
-
隶属关系:
- Faculty of Computational Mathematics and Cybernetics
- 期: 卷 96, 编号 1 (2017)
- 页面: 308-311
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225177
- DOI: https://doi.org/10.1134/S1064562417040020
- ID: 225177
如何引用文章
详细
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.
作者简介
V. Denisov
Faculty of Computational Mathematics and Cybernetics
编辑信件的主要联系方式.
Email: vdenisov2008@yandex.ru
俄罗斯联邦, Moscow, 119992