Geodesic
Global existence and regularity of solutions for complex Ginzburg-Landau equations
Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 193-211.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Si considerano equazioni di Ginzburg-Landau complesse del tipo $u_{t}-\alpha\Delta u+ P(|u|^{2})u=0$ in $\mathbb{R}^{N}$ dove $P$ è polinomio di grado $K$ a coefficienti complessi e $\alpha$ è un numero complesso con parte reale positiva $\Re\alpha$. Nell'ipotesi che la parte reale del coefficiente del termine di grado massimo $P$ sia positiva, si dimostra l'esistenza e la regolarità di una soluzione globale nel caso $|\alpha| C\Re\alpha$, dove $C$ dipende da $K$ e $N$. 
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Descombes, Stéphane; Moussaoui, Mohand. Global existence and regularity of solutions for complex Ginzburg-Landau equations. Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 1, pp. 193-211. http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_1_a10/

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