Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions
Electronic journal of differential equations, Tome 2011 (2011)
We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Classification :
35K20, 35K59, 35B45, 35D30
Keywords: faedo-Galerkin method, nonlocal boundary conditions, a priori estimates, quasilinear parabolic equations, generalized solution
Keywords: faedo-Galerkin method, nonlocal boundary conditions, a priori estimates, quasilinear parabolic equations, generalized solution
@article{EJDE_2011__2011__a47,
author = {Chen, Baili},
title = {Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions},
journal = {Electronic journal of differential equations},
year = {2011},
volume = {2011},
zbl = {1205.35141},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a47/}
}
Chen, Baili. Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a47/