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
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