On a fractional partial differential equation with dominating linear part
In: Mathematical methods in the applied sciences, Jg. 20 (1997), Heft 16, S. 1427-1448
Online
academicJournal
- print, 10 ref
Zugriff:
It is proved that there is a (weak) solution of the equation ut = a * Uxx + b * g(ux)x +f on R+ (where * denotes convolution over (-∞, t)) such that uX is locally bounded. Emphasis is put on having the assumptions on the initial conditions as weak as possible. The kernels a and b are completely monotone and if a(t) = t-∞, b(t) = t-∞, and g(ξ) ∼ sign(ξ)|ξ|y for large ξ, then the main assumption is that α > (2y + 2)/(3y + I)β + (2y - 2)/(3y + 1).
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On a fractional partial differential equation with dominating linear part
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Autor/in / Beteiligte Person: | GRIPENBERG, G ; LONDEN, S.-O ; PRÜSS, J |
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Zeitschrift: | Mathematical methods in the applied sciences, Jg. 20 (1997), Heft 16, S. 1427-1448 |
Veröffentlichung: | Stuttgart; Chichester: Teubner, Wiley, 1997 |
Medientyp: | academicJournal |
Umfang: | print, 10 ref |
ISSN: | 0170-4214 (print) |
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