Communications in Mathematical Analysis

Variational Inequality with Evolutional Curl Constraint in a Multi-Connected Domain

Junichi Aramaki

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Abstract

We consider a system of quasilinear parabolic type equations involving operator curl associated with the Maxwell equations in a multi-connected domain. The paper is a continuation of the author's previous paper. We deal with a variational inequality with curl constraint. It is an extension of the results of Miranda et al. for $p$-curl system.

Article information

Source
Commun. Math. Anal., Volume 20, Number 1 (2017), 1-26.

Dates
First available in Project Euclid: 17 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.cma/1494986414

Mathematical Reviews number (MathSciNet)
MR3625690

Zentralblatt MATH identifier
1378.35177

Subjects
Primary: 35A02: Uniqueness problems: global uniqueness, local uniqueness, non- uniqueness 35K59: Quasilinear parabolic equations 35K61: Nonlinear initial-boundary value problems for nonlinear parabolic equations 35K67: Singular parabolic equations

Keywords
variational inequality curl constraint $p$-curl system the Maxwell equations multi-connected domain

Citation

Aramaki, Junichi. Variational Inequality with Evolutional Curl Constraint in a Multi-Connected Domain. Commun. Math. Anal. 20 (2017), no. 1, 1--26. https://projecteuclid.org/euclid.cma/1494986414


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