(1) Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112-0090, USA;(2) Present address: Department of Mathematics, University of Texas at Austin, Austin, TX, 78712
Abstract:
We consider parabolic variational inequalities having the strong formulation
((1))
where for some admissible initial datum, V is a separable Banach space with separable dual is an appropriate monotone operator, and is a convex, lower semicontinuous functional. Well-posedness of (1) follows from an explicit construction of the related semigroup Illustrative applications to free boundary problems and to parabolic problems in Orlicz-Sobolev spaces are given.
for some admissible initial datum, V is a separable Banach space with separable dual
is an appropriate monotone operator, and
is a convex,
lower semicontinuous functional. Well-posedness of (1) follows from an explicit construction of the related semigroup
Illustrative applications to free boundary problems and to parabolic problems in Orlicz-Sobolev spaces are given.