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arxiv: 1001.3642 · v1 · pith:SPSW7UT7new · submitted 2010-01-20 · 🧮 math.AP · math-ph· math.MP

Heat equation with dynamical boundary conditions of reactive-diffusive type

classification 🧮 math.AP math-phmath.MP
keywords boundarydynamicalequationheatreactive-diffusivetypeboundedcondition
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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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