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arXiv · 1001.3642

Heat equation with dynamical boundary conditions of reactive-diffusive type

Juan Luis Vázquez·Enzo Vitillaro
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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.

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Juan Luis Vázquez, Enzo Vitillaro. 2010-01-20. Heat equation with dynamical boundary conditions of reactive-diffusive type. https://doi.org/10.1016/j.jde.2010.12.012

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