Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions

Let Omega be a bounded, simply connected, regular domain of R-n, N greater than or equal to 2. For 0 < epsilon < 1, let u(epsilon): Omega --> C be a smooth solution of the Ginzburg Landau equation in Omega with Dirichlet boundary condition g(epsilon), i.e., [GRAPHICS] We are interested in the asymptotic behavior of u, as c goes to zero under the assumption that E-epsilon(u(epsilon)) less than or equal to M-omicron \ log epsilon \ and some conditions on g(epsilon) which allow singularities of dimension N - 3 on partial derivative Omega. (C) 2001 Academic Press.