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On a regularity property and a priori estimates for solutions of nonlinear parabolic variational inequalities
Published online by Cambridge University Press: 22 January 2016
Abstract
In this paper we consider the following nonlinear parabolic variational inequality; u(t) ∈ D(Φ) for all where Δp is the so-called p-Laplace operator and Φ is a proper, lower semicontinuous functional. We have obtained two results concerning to solutions of this problem. Firstly, we prove a few regularity properties of solutions. Secondly, we show the continuous dependence of solutions on given data u0 and f.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2000
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