## A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation

##### Authors
Karachalios, Nikos I.
##### Description
Using the improved lower bound on the sum of the eigenvalues of the Dirichlet Laplacian proved by A. D. Melas (Proc. Amer. Math. Soc. \textbf{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.
Comment: 5 pages
##### Keywords
Mathematics - Analysis of PDEs, Mathematical Physics, 35Q55, 35B40, 35B41, 37L30