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A Periodic Problem for the Landau--Ginzburg Equation

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Abstract

In this paper, we consider a periodic problem for the n-dimensional complex Landau--Ginzburg equation. It is shown that in the case of small initial data there exists a unique classical solution of this problem, and an asymptotics of this solution uniform in the space variable is given. The leading term of the asymptotics is exponentially decreasing in time.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    M. V. Komarov & I. A. Shishmarev

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  1. M. V. Komarov
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  2. I. A. Shishmarev
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Komarov, M.V., Shishmarev, I.A. A Periodic Problem for the Landau--Ginzburg Equation. Mathematical Notes 72, 204–211 (2002). https://doi.org/10.1023/A:1019897911724

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  • DOI: https://doi.org/10.1023/A:1019897911724

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