Author: Laurent Schwartz
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
Book Description
Problémes mixtes pour l'équation des ondes
Problemes Mixtes Pour L'equation Des Ondes
Problèmes mixtes pour l'équation des ondes
Problèmes mixtes pour l'équation des ondes
Author: Laurent Schwartz
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : fr
Pages : 78
Book Description
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : fr
Pages : 78
Book Description
Problèmes mixtes pour l'équation des ondes dans les domaines extérieurs à frontière bornée ou non
Author: Daniel Assiongbon Kueviakoe
Publisher:
ISBN:
Category :
Languages : fr
Pages : 304
Book Description
Publisher:
ISBN:
Category :
Languages : fr
Pages : 304
Book Description
Problèmes mixtes pour l'équation des ondes
Sur une classe de problèmes mixtes relatifs à l'équation des ondes sphériques
Problèmes mixtes pour l'équation des ondes
Singularities in Boundary Value Problems
Author: H.G. Garnir
Publisher: Springer Science & Business Media
ISBN: 9400984340
Category : Mathematics
Languages : en
Pages : 390
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9400984340
Category : Mathematics
Languages : en
Pages : 390
Book Description
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.