Existence and Decay of Solutions of Some Nonlinear Parabolic Variational Inequalities
نویسنده
چکیده
This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type: >_ 0 for v e LP([O,=);V (p>2) with v(t) e K a.e. in [0,=), where K is a closed convex set of a separable uniformly convex Banach space V, A is a nonlinear monotone operator from V to V* and B is a nonlinear operator from Banach space W to W*. V and W are related as V W c H for a Hilbert space H. No monotonicity assumption is made on B.
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