Uniqueness and stability of solutions for a type of parabolic boundary value problem

Enrique A. Gonzalez-Velasco

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-5

Abstract:

We consider a boundary value problem consisting of the one-dimensional parabolic equation gu t = ( hu x ) x + q , where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:507891

DOI: 10.1155/S0161171289000918

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