Electron. J. Diff. Equ., Vol. 2011 (2011), No. 18, pp. 1-9.

Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions

Baili Chen

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 3, 2011.
Math Subject Classifications: 35K20, 35K59, 35B45, 35D30.
Key Words: Faedo-Galerkin method; nonlocal boundary conditions; a priori estimates; quasilinear parabolic equations; generalized solution

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Baili Chen
Department of Mathematics and Computer Science
Gustavus Adolphus College
Saint Peter, MN 56082, USA
email: bchen@gustavus.edu

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