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Gevrey class regularity for the time-dependent Ginzburg-Landau equations

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Abstract.

In this paper we show that the strong solutions of the time-dependent Ginzburg-Landau equations in periodic domain are analytic in time with values in a Gevrey class of functions. As an immediate corollary we find that the solutions become smooth immediately after the initial time.

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Authors and Affiliations

  1. Department of Mathematics, Seoul National University, Seoul 151-742, Korea, e-mail: dhchae@math.snu.ac.kr, , , , , , KR

    D. Chae

  2. Department of Mathematics, Seoul National University, Seoul 151-742, Korea, e-mail: jmhan@math.snu.ac.kr, , , , , , KR

    J. Han

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  1. D. Chae
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  2. J. Han
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Received: April 17, 1997

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Chae, D., Han, J. Gevrey class regularity for the time-dependent Ginzburg-Landau equations. Z. angew. Math. Phys. 50, 244–257 (1999). https://doi.org/10.1007/s000330050149

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  • DOI: https://doi.org/10.1007/s000330050149

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