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Parabolic Equations in Orlicz Spaces
Author(s) -
Elmahi A.,
Meskine D.
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006630
Subject(s) - mathematics , mathematical analysis , pure mathematics
An approximation theorem in inhomogeneous Orlicz–Sobolev spaces is proved which allows a second‐order parabolic equation in Orlicz spaces to be solved. A trace result is also given which shows that the solutions are continuous with respect to time.