Heat equation with dynamical boundary conditions of reactive-diffusive type
arXiv:1001.3642 · doi:10.1016/j.jde.2010.12.012
Abstract
This paper deals with the heat equation posed in a bounded regular domain coupled with a dynamical boundary condition of reactive-diffusive type, involving the Laplace-Beltrami operator. We prove well-posedness of the problem together with regularity of the solutions.
18 pages
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