Heat equation with dynamical boundary conditions of reactive-diffusive type

Details Heat equation with dynamical boundary conditions of reactive-diffusive type Heat equation with dynamical boundary conditions of reactive-diffusive type

2010-01-20

arxiv.org/abs/1001.3642v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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.

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