Landau-Lifshitz-Maxwell equation in dimension three
نویسندگان
چکیده
In dimension three, we establish the existence of weak solutions {u,H,E} to the Landau-Lifshitz equation (1.1) coupled with the time-dependent Maxwell equation (1.2)-(1.3) such that u is Hölder continuous away from a closed set Σ, which has locally finite 3-dimensional parabolic Hausdorff measure. For two reduced Maxwell equations (1.17) and (1.18), Hölder continuity of ∇u away from Σ is also established.
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