Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension
Electronic journal of differential equations, Tome 2015 (2015)
In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation
with initial-boundary value conditions in a finite time interval.
| $ t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad{in }[1,T]\times (a,b) $ |
Classification :
35L05, 35D30, 35G20, 35G31, 35L70, 35L81
Keywords: Emden-Fowler wave equation, existence, uniqueness
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},
year = {2015},
volume = {2015},
zbl = {1326.35210},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a82/}
}
TY - JOUR AU - Li, Meng-Rong TI - Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension JO - Electronic journal of differential equations PY - 2015 VL - 2015 UR - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a82/ LA - en ID - EJDE_2015__2015__a82 ER -
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/