Hyperbolic equations and classes of infinitely differentiable functions
In: Annali di Matematica Pura ed Applicata, Jg. 143 (1986-12-01), Heft 1, S. 187-195
Online
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Zugriff:
We consider the solvability in the Mandelbrojt classes ɛ{Mh} (for the definition see (6), (7), (8), (9) below) of the Cauchy problem for hyperbolic equations of the type utt- - a(t) uxx=0, where a(t) is a strictly positive continuous function. More precisely, we give an example of a function a(t) for which the Cauchy problem is not well-posed in any class ɛ{Mh} containing a non-trivial function with compact support.
Titel: |
Hyperbolic equations and classes of infinitely differentiable functions
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Autor/in / Beteiligte Person: | Colombini, Ferruccio ; Jannelli, Enrico ; Spagnolo, Sergio |
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Zeitschrift: | Annali di Matematica Pura ed Applicata, Jg. 143 (1986-12-01), Heft 1, S. 187-195 |
Veröffentlichung: | 1986 |
Medientyp: | serialPeriodical |
ISSN: | 0373-3114 (print) ; 1618-1891 (print) |
DOI: | 10.1007/BF01769215 |
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