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Books > Science & Mathematics > Mathematics > Algebra
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Singularities in Boundary Value Problems - Proceedings of the NATO Advanced Study Institute held at Maratea, Italy, September 22 - October 3, 1980 (Hardcover, 1981 ed.)
Loot Price: R5,354
Discovery Miles 53 540
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Singularities in Boundary Value Problems - Proceedings of the NATO Advanced Study Institute held at Maratea, Italy, September 22 - October 3, 1980 (Hardcover, 1981 ed.)
Series: NATO Science Series C, 65
Expected to ship within 18 - 22 working days
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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.
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