Hypoellipticity and local solvability of anisotropic PDEs with Gevrey nonlinearity
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 583-610.

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

In questo articolo viene proposto un approccio unificato, che si basa sulle tecniche dell'analisi microlocale, per caratterizzare sia l'ipoellitticità sia la risolubilità locale, in $C^\infty$ e nelle classi di Gevrey $G^\lambda$, di operatori alle derivate parziali anisotropi, in dimensione $n \geq 3$, i quali, vengono perturbati con non linearità di tipo Gevrey. Per ottenere questi risultati sono state imposte alcune condizioni sul segno dei termini di ordine inferiore della parte lineare dell'operatore, vedere Teorema 1.1 e Teorema 1.3. 
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De Donno, Giuseppe; Oliaro, Alessandro. Hypoellipticity and local solvability of anisotropic PDEs with Gevrey nonlinearity. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 583-610. https://geodesic-test.mathdoc.fr/item/BUMI_2006_8_9B_3_a4/

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