2020 Existence of a Solution for a Stationary Maxwell-Stokes Type System
Junichi Aramaki
Commun. Math. Anal. 23(1): 1-16 (2020).

Abstract

In this paper, we consider the Maxwell-Stokes type system containing $p$-curlcurl equation in a bounded multiply connected domain. We demonstrate the existence of a weak solution. Moreover, we show the continuous dependence of the solution on known data.

Citation

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Junichi Aramaki. "Existence of a Solution for a Stationary Maxwell-Stokes Type System." Commun. Math. Anal. 23 (1) 1 - 16, 2020.

Information

Published: 2020
First available in Project Euclid: 19 June 2020

MathSciNet: MR4103522

Subjects:
Primary: 35A05 , 35A15 , 35D05 , 35Q30

Keywords: continuous dependence of solution , existence of a weak solution , Maxwell-Stokes equation , variational method

Rights: Copyright © 2020 Mathematical Research Publishers

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Vol.23 • No. 1 • 2020
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