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- W1993485752 abstract "In this paper, we study a stationary and a nonstationary problem of the Ginzburg–Landau–Maxwell equations with Coulomb gauge in the Lp framework. First we prove a unique existence of stationary solution near the constant state with a small external magnetic field. Moreover, we prove a globally in time existence of solutions to the time dependent Ginzburg–Landau–Maxwell equations with small initial data and external magnetic field, and we show its convergence to the corresponding stationary solution when time tends to infinity. The key of our approach is to use various Lp–Lq estimates of the analytic semigroup generated by the linearized problem. Especially our initial data belong to L3 without any additional regularity." @default.
- W1993485752 created "2016-06-24" @default.
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- W1993485752 date "2007-12-01" @default.
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- W1993485752 title "On an <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> approach to the stationary and nonstationary problems of the Ginzburg–Landau–Maxwell equations" @default.
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- W1993485752 doi "https://doi.org/10.1016/j.jde.2005.09.005" @default.
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