H.G. Garnir Singularities in Boundary Value Problems 9789027712400

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Автор: H.G. Garnir
Название: Singularities in Boundary Value Problems
ISBN: 9789027712400
Издательство: Springer
Классификация:

Алгебра

Теория чисел

ISBN-10: 9027712409
Обложка/Формат: Hardcover
Страницы: 377
Вес: 0.75 кг.
Дата издания: 31.03.1981
Серия: Nato Science Series C:
Язык: English
Размер: 237 x 166 x 31
Основная тема: Mathematics
Подзаголовок: Proceedings of the NATO Advanced Study Institute held at Maratea, Italy, September 22 – October 3, 1980
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The 1980 Maratea NATO Advanced Study Institute (= ASI) followed the lines of the 1976 Liege NATO ASI. Indeed, the interest of boundary problems for linear evolution partial differential equations and systems is more and more acute because of the outstanding position of those problems in the mathematical description of the physical world, namely through sciences such as fluid dynamics, elastodynamics, electro- dynamics, electromagnetism, plasma physics and so on. In those problems the question of the propagation of singularities of the solution has boomed these last years. Placed in its definitive mathematical frame in 1970 by L. Hormander, this branch -of the theory recorded a tremendous impetus in the last decade and is now eagerly studied by the most prominent research workers in the field of partial differential equations. It describes the wave phenomena connected with the solution of boundary problems with very general boundaries, by replacing the (generailly impossible) computation of a precise solution by a convenient asymptotic approximation. For instance, it allows the description of progressive waves in a medium with obstacles of various shapes, meeting classical phenomena as reflexion, refraction, transmission, and even more complicated ones, called supersonic waves, head waves, creeping waves, ------ The tudy of singularities uses involved new mathematical concepts (such as distributions, wave front sets, asymptotic developments, pseudo-differential operators, Fourier integral operators, microfunctions, --- ) but emerges as the most sensible application to physical problems. A complete exposition of the present state of this theory seemed to be still lacking.

Singularities in Boundary Value Problems, H.G. Garnir