On an \(L_{p}\) approach to the stationary and nonstationary problems of the Ginzburg-Landau-Maxwell equations

DOI10.1016/j.jde.2005.09.005zbMath1136.35009OpenAlexW1993485752MaRDI QIDQ2464143

Yoshihiro Shibata, Takahiro Akiyama

Publication date: 10 December 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.09.005

zbMATH Keywords

Coulomb gauge\(L^{p}\)-\(L^{q}\)-estimatesperfect conducting wall condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with optics and electromagnetic theory (35Q60) A priori estimates in context of PDEs (35B45)

Related Items (1)

The Work of Yoshihiro Shibata

Cites Work

• On nonstationary solutions of the Navier-Stokes equations in an exterior domain
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition
• The Meissner effect and the Ginzburg–Landau equations in the presence of an applied magnetic field
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