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

Verfasser/in: Lars Hörmander
Verlag: Berlin : Springer, 2005.
Serien: Classics in mathematics.
Ausgabe/Format  E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Lars Hörmander
ISBN: 3540269649 9783540269649 1280346698 9781280346699
OCLC-Nummer: 63147600
Anmerkungen: "Reprint of the 1983 Edition."
Beschreibung: 1 online resource.
Serientitel: Classics in mathematics.
Andere Titel Differential operators with constant coefficients
Verfasserangabe: 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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