Analytic solutions to nonlocal abstract equations
Ghisi, Marina
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 181-198 / Harvested from Biblioteca Digitale Italiana di Matematica
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In this paper we study the problem of existence of global solutions for some classes of abstract equations, that generalize some type of Klein-Gordon equations, with nonlinear nonlocal terms of Kirchhoff type. We find some conditions that guarantee the existence of such solutions whether in presence or in absence of a conserved energy.

Si considera il problema dell'esistenza di soluzioni globali analitiche per equazioni astratte, in spazi di Hilbert, di tipo Klein-Gordon corrette con termini non locali, del tipo: u′′+m⁢uH2,A⁢u,u⁢A⁢u+n⁢uH2,A⁢u,u⁢u=0. In particolare si individuano classi di condizioni sulle funzioni m ed n (sia in presenza che in assenza di energie conservate) che garantiscono l'esistenza di tali soluzioni.

Publié le : 2003-02-01
@article{BUMI_2003_8_6B_1_181_0,
     author = {Marina Ghisi},
     title = {Analytic solutions to nonlocal abstract equations},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {181-198},
     zbl = {1177.81035},
     mrnumber = {1955704},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_1_181_0}
}

Ghisi, Marina. Analytic solutions to nonlocal abstract equations. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 181-198. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_1_181_0/

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