Geodesic
A nonlocal mixed semilinear problem for second-order hyperbolic equations
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
Classification : 35L20, 35L67
Keywords: semilinear hyperbolic equation, integral condition, strong solution, existnece, uniqueness, blow up, decay 
@article{EJDE_2003__2003__a177,
     author = {Mesloub, Said and Messaoudi, Salim A.},
     title = {A nonlocal mixed semilinear problem for second-order hyperbolic equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a177/}
}
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Mesloub, Said; Messaoudi, Salim A. A nonlocal mixed semilinear problem for second-order hyperbolic equations. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a177/