Strongly nonlinear parabolic inequality in orlicz spaces via a sequence of penalized equations

Strongly nonlinear parabolic inequality in orlicz spaces via a sequence of penalized equations

An existence result of a entropy unilateral solution for a class of strongly nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.

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Veröffentlicht in:Afrika mathematica 2015-12, Vol.26 (7-8), p.1669-1695
Hauptverfasser: Akdim, Y., Bennouna, J., Mekkour, M., Redwane, H.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
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Beschreibung
Zusammenfassung:An existence result of a entropy unilateral solution for a class of strongly nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-014-0309-0