A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation
نویسنده
چکیده
Using the improved lower bound on the sum of the eigenvalues of the Dirichlet Laplacian proved by A. D. Melas (Proc. Amer. Math. Soc. 131 (2003) 631-636), we report a new and sharp estimate for the dimension of the global attractor associated to the complex Ginzburg-Landau equation supplemented with Dirichlet boundary conditions.
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