Lorentz Space Estimates and Jacobian Convergence for the Ginzburg-Landau Energy with Applied Magnetic Field
نویسنده
چکیده
In this paper we continue the study of Lorentz space estimates for the GinzburgLandau energy started in [15]. We focus on getting estimates for the GinzburgLandau energy with external magnetic field hex in certain interesting regimes of hex. This allows us to show that for configurations close to minimizers or local minimizers of the energy, the vorticity mass of the configuration (u,A) is comparable to the L2,∞ Lorentz space norm of ∇Au. We also establish convergence of the gauge-invariant Jacobians (vorticity measures) in the dual of a function space defined in terms of Lorentz spaces.
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تاریخ انتشار 2008