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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

Haruo Nagase
Haruo Nagase*
Affiliation:
Suzuka National College of Technology, 510-0294 Suzuka, Japan, nagase@genl.suzuka-ct.ac.jp
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Abstract

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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.

Keywords

35K8535B4535B65
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 160 , 2000 , pp. 123 - 134
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

References

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