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Continuous Invertibility of a Boundary Control Operator for the Wave Equation on Subcritical Intervals in Classes of Weak Generalized Solutionsстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Ivanov D.A., Potapov M.M.
- Журнал: Moscow University Computational Mathematics and Cybernetics
- Том: 38
- Номер: 4
- Год издания: 2014
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 139
- Последняя страница: 146
- DOI: 10.3103/S0278641914040025
- Аннотация: For the wave equation, problems with twosided boundary controls of three basic types are considered. Constructive estimates for the bounded invertibility of the control operator with known estimated constants are obtained in classes of weak generalized solutions on intervals of subcritical length. With the use of these estimates, stable numerical solutions of the considered problems on time intervals of strictly subcritical length can be found by applying a variational method. The main difference of the present estimated constants from those considered previously in the case of strong generalized solutions is that they degenerate as the time interval length approaches its critical value.
- Добавил в систему: Потапов Михаил Михайлович