Genni Fragnelli, Dimitri Mugnai Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations 9781470419547

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Автор: Genni Fragnelli, Dimitri Mugnai
Название: Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
ISBN: 9781470419547
Издательство: Mare Nostrum (Eurospan)
Классификация:

Основы высшей математики и математический анализ

Дифференциальное исчисление и дифференциальные уравнения

ISBN-10: 1470419548
Обложка/Формат: Paperback
Страницы: 83
Вес: 0.00 кг.
Дата издания: 30.06.2016
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Differential calculus & equations
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Поставляется из: Англии
Описание: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations, Genni Fragnelli, Dimitri Mugnai