On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping

A. T. Lourêdo, G. Siracusa and C. A. Silva Filho

Journal of Applied Mathematics, 2015, vol. 2015, issue 1

Abstract: This paper deals essentially with a nonlinear degenerate evolution equation of the form Ku″-Δu+∑j=1nbj∂u′/∂xj+uσu=0 supplemented with nonlinear boundary conditions of Neumann type given by ∂u/∂ν + h(·, u′) = 0. Under suitable conditions the existence and uniqueness of solutions are shown and that the boundary damping produces a uniform global stability of the corresponding solutions.

Date: 2015
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https://doi.org/10.1155/2015/281032

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2015:y:2015:i:1:n:281032

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