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Nonlinear parabolic inequalities on a general convex domain. (English) Zbl 1218.35124

Summary: The paper deals with the existence and uniqueness of solutions of some nonlinear parabolic inequalities in the Orlicz-Sobolev spaces framework.

MSC:

35K86 Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators
49J40 Variational inequalities
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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