Chen Wenxiong, Li Yan, Ma Pei The Fractional Laplacian 9789813223998

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Автор: Chen Wenxiong, Li Yan, Ma Pei
Название: The Fractional Laplacian
ISBN: 9789813223998
Издательство: World Scientific Publishing
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 9813223995
Обложка/Формат: Hardback
Страницы: 344
Вес: 0.42 кг.
Дата издания: 28.07.2020
Серия: Mathematics
Язык: English
Размер: 22.91 x 15.19 x 2.24 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Calculus & mathematical analysis, MATHEMATICS / Differential Equations / Partial,MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis
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Поставляется из: Англии
Описание: This is a unique book that provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to the frontier of the current research in this area. The explanations and illustrations are elementary enough so that the first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which the professionals would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence.

The Fractional Laplacian, Chen Wenxiong, Li Yan, Ma Pei