Singularities in Boundary Value Problems

Lingua: inglese

Editore: Springer Netherlands, Springer Netherlands Mär 1981, 1981

9027712409 / 9789027712400

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 398 pp. Englisch.…

Codice articolo 9789027712400

Titolo
Singularities in Boundary Value Problems
Autore
H. G. Garnir
Editore
Springer Netherlands, Springer Netherlands Mär 1981
Anno di pubblicazione
1981
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
9027712409
ISBN 13
9789027712400
Peso dell'articolo
761 grammi
Dimensioni
241x160x26 mm

buchversandmimpf2000

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