Cauchy problem in generalized Gevrey classes

• Autorzy: Daniela Calvo
• Języki publikacji: EN

Abstrakty

EN

In this work we present a class of partial differential operators with constant coefficients, called multi-quasi-hyperbolic and defined in terms of a complete polyhedron. For them we obtain the well-posedness of the Cauchy problem in generalized Gevrey classes determined by means of the same polyhedron. We present some necessary and sufficient conditions on the operator in order to be multi-quasi-hyperbolic and give some examples.

Kategorie tematyczne

• 35L40: First-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 269-278

Daty

wydano

2003

Twórcy

autor

Daniela Calvo

• Dipartimento di Matematica "L. Tonelli", Università di Pisa, Via Buonarroti, 2, 56127 Pisa, Italy

Identyfikatory

DOI

10.4064/bc60-0-21