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

Autore: Lars Hörmander
Editore: Berlin : Springer, 2005.
Serie: Classics in mathematics.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
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  Per saperne di più…
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Dettagli

Genere/forma: Electronic books
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: Lars Hörmander
ISBN: 3540269649 9783540269649 1280346698 9781280346699
Numero OCLC: 63147600
Note: "Reprint of the 1983 Edition."
Descrizione: 1 online resource.
Titolo della serie: Classics in mathematics.
Altri titoli: Differential operators with constant coefficients
Responsabilità: Lars Hörmander.

Abstract:

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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