Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension
Electronic journal of differential equations, Tome 2015 (2015)
Zbl
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
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/
@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},
     year = {2015},
     volume = {2015},
     zbl = {1326.35210},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a82/}
}
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