Analytic solutions to nonlocal abstract equations
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 181-198
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2003_8_6B_1_a10,
author = {Ghisi, Marina},
title = {Analytic solutions to nonlocal abstract equations},
journal = {Bollettino della Unione matematica italiana},
pages = {181--198},
publisher = {mathdoc},
volume = {Ser. 8, 6B},
number = {1},
year = {2003},
zbl = {1177.81035},
mrnumber = {MR1955704},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a10/}
}
Ghisi, Marina. Analytic solutions to nonlocal abstract equations. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 181-198. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a10/