On long-time asymptotics of solutions of parabolic equations with increasing leading coefficients
- Авторы: Denisov V.1
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Учреждения:
- Faculty of Computational Mathematics and Cybernetics
- Выпуск: Том 96, № 1 (2017)
- Страницы: 308-311
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225177
- DOI: https://doi.org/10.1134/S1064562417040020
- ID: 225177
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Аннотация
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.
Об авторах
V. Denisov
Faculty of Computational Mathematics and Cybernetics
Автор, ответственный за переписку.
Email: vdenisov2008@yandex.ru
Россия, Moscow, 119992