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.
Citation:
M. V. Komarov, I. A. Shishmarev, “A Periodic Problem for the Landau–Ginzburg Equation”, Mat. Zametki, 72:2 (2002), 227–235; Math. Notes, 72:2 (2002), 204–211