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The analysis of linear partial differential operators. II, Differential operators with constant coefficients

Auteur : Lars Hörmander
Éditeur : Berlin : Springer, 2005.
Collection : Classics in mathematics.
Édition/format :   Livre électronique : Document : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
Vol. I of Lars Hormander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One  Lire la suite...
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Détails

Genre/forme : Electronic books
Format – détails additionnels : Printed edition:
Type d’ouvrage : Document, Ressource Internet
Format : Internet Resource, Computer File
Tous les auteurs / collaborateurs : Lars Hörmander
ISBN : 3540269649 9783540269649 9783540225164 3540225161
Numéro OCLC : 63147600
Notes : "Reprint of the 1983 Edition."
Description : 1 online resource.
Titre de collection : Classics in mathematics.
Autres titres : Differential operators with constant coefficients
Responsabilité : Lars Hörmander.

Résumé :

Vol. I of Lars Hormander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

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