We consider here a general second order Cauchy problem of hyperbolic type, with coefficients Holder continuous in the time variable and of Gevrey class in the space variables, in the abstract setting of Hilbert spaces. Some global and local existence results are proved to hold.

Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type / D'Ancona, Piero. - In: PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. - ISSN 0034-5318. - 24:3(1988), pp. 433-449. [10.2977/prims/1195175035]

Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type

D'Ancona, Piero
Primo
1988

Abstract

We consider here a general second order Cauchy problem of hyperbolic type, with coefficients Holder continuous in the time variable and of Gevrey class in the space variables, in the abstract setting of Hilbert spaces. Some global and local existence results are proved to hold.
1988
banach spaces; differential equations; gevrey spaces
01 Pubblicazione su rivista::01a Articolo in rivista
Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type / D'Ancona, Piero. - In: PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. - ISSN 0034-5318. - 24:3(1988), pp. 433-449. [10.2977/prims/1195175035]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1682636
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