Abstract:Abstract:We study, in a Hilbert framework, some abstract parabolic variational inequalities, governed by reflecting subgradients with multiplicative perturbation, of the following type:where A is a linear self-adjoint operator, @' is the subdifferential operator of a proper lower semicontinuous convex function ' defined on a suitable Hilbert space, and ‚ is the perturbing term which acts on the set of reflecting directions, destroying the maximal monotony of the multivalued term. We provide the existence of a … Show more
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