Mylen L. Aala
First Asia Institute of Technology and Humanities
Editha C. Jose
University of the Philippines Los Baños
Marian P. Roque
University of the Philippines Diliman
This paper establishes the existence and uniquenesss of a weak solution of a quasilinear parabolic problem in an open set whose boundary is the union of two disjoint closed surfaces. A Dirichlet condition is prescribed on the exterior boundary and a Neumann condition on the interior boundary. The existence of a solution of the parabolic problem is shown using the Faedo-Galerkin method and some a priori estimates are established to provide bounds for the solution.
Keywords: Parabolic, quasilinear, Neumann boundary condition, weak solution
How to Cite
AALA, Mylen L.; JOSE, Editha C.; ROQUE, Marian P..
On the Solvability of a Quasilinear Parabolic Problem with Neumann Boundary Condition.
, [S.l.], v. 28, n. 2, dec. 2016.
ISSN ISSN 2012-0818.
Available at: <http://ovcrd.upd.edu.ph/sciencediliman/article/view/5510
>. Date accessed: 14 dec. 2018.
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