THE CAUCHY PROBLEM FOR p-EVOLUTION EQUATIONS

In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We show that the problem is well-posed in Sobolev spaces assuming a suitable decay of the coefficients as the space variable x → ∞. In some cases, such a decay may also compensate a lack of regularity wi...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Transactions of the American Mathematical Society 2010-09, Vol.362 (9), p.4853-4869
Hauptverfasser:	CICOGNANI, MASSIMO, COLOMBINI, FERRUCCIO
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy problem Coefficients Continuous functions Eigenvalues Exact sciences and technology Factorization Functional analysis General mathematics General, history and biography Global analysis, analysis on manifolds Mathematical analysis Mathematical theorems Mathematics Scalars Sciences and techniques of general use Sobolev spaces Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Variable coefficients
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We show that the problem is well-posed in Sobolev spaces assuming a suitable decay of the coefficients as the space variable x → ∞. In some cases, such a decay may also compensate a lack of regularity with respect to the time variable t.
ISSN:	0002-9947 1088-6850
DOI:	10.1090/s0002-9947-10-05171-8