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Apriori estimates of minimizer in a control parabolic problemтезисы доклада
- Авторы: Astashova Irina, Filinovskiy Alexey, Lashin Dmitriy
- Сборник: O. A. Ladyzhenskaya centennial conference on PDE’s Book of Abstracts
- Тезисы
- Год издания: 2022
- Издательство: ООО "Издательство ВВМ"
- Местоположение издательства: Санкт-Петербург
- Первая страница: 48
- Последняя страница: 48
- Аннотация: We study the problem of control over temperature conditions inindustrial hothouses. For amodel based on a one-dimensional parabolic equation on a bounded interval with quadratic cost functional, we prove the existence and uniqueness of a control function from a prescribed set and study the structure of the set of accessible temperature functions. We prove the positivity principle to the parabolic boundary value problem and obtain the inequality for positive solutions. Also we prove some <<technological>> inequalities for the control function.
- Добавил в систему: Филиновский Алексей Владиславович