Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 18, pp. 1-9.

Title: Existence of solutions for quasilinear parabolic equations
       with nonlocal boundary conditions

Author: Baili Chen (Gustavus Adolphus College, Saint Peter, MN, USA)
 
Abstract: 
  We prove the existence of a generalized solution a quasilinear
  parabolic equation with nonlocal boundary conditions,
  using the Faedo-Galerkin approximation.

Submitted April 22, 2010. Published February 03, 2011.
Math Subject Classifications: 35K20, 35K59, 35B45, 35D30.
Key Words: Faedo-Galerkin method; nonlocal boundary conditions;
           a priori estimates; quasilinear parabolic equations; 
	   generalized solution