Singularities in Boundary Value Problems - Proceedings of the NATO Advanced Study Institute held at Maratea, Italy, September 22 - October 3, 1980 (Paperback, Softcover reprint of the original 1st ed. 1981)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	NATO Science Series C, 65
Release date:	October 2013
First published:	1981
Editors:	H.G. Garnir
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	377
Edition:	Softcover reprint of the original 1st ed. 1981
ISBN-13:	978-9400984363
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	9400984367
Barcode:	9789400984363

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