Geodesic
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension
Electronic Journal of Differential Equations, Tome 2015 (2015).

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

Summary: In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation $$ t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad{in }[1,T]\times (a,b) $$ with initial-boundary value conditions in a finite time interval.
Classification : 35L05, 35D30, 35G20, 35G31, 35L70, 35L81
Keywords: Emden-Fowler wave equation, existence, uniqueness 
@article{EJDE_2015__2015__a82,
     author = {Li, Meng-Rong},
     title = {Existence and uniqueness of local weak solutions for the {Emden-Fowler} wave equation in one dimension},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a82/}
}
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Li, Meng-Rong. Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a82/