Results on linear and nonlinear hyperbolic boundary value problems at resonance

Smiley, Michael W.

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 68 (1980), p. 327-332 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

Si considera l’equazione non lineare nell'incognita $u(t,x)$ ((1,1) del testo) soddisfatta in un cilindro $G = (o,T) \times \Omega$ ($\Omega$ dominio limitato di $\bf{R}^{n}$) con condizioni al contorno tipo Dirichlet o Neumann sulla superficie laterale di $G$ e con relazioni omogenee fra $u$ e $u_{t}$ sulle basi. Si stabiliscono per la (1) e nel caso di risonanza alcuni teoremi di perturbazione.

Détail

Publié le : 1980-12-01

MR 0690300 | Zbl 0492.35050

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