Solvability of the heat equation with a nonlinear boundary condition
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🧮 math.AP
keywords
boundaryconditionconditionsequationheatnonlinearsolvabilitybehavior
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We obtain necessary conditions and sufficient conditions for the solvability of the heat equation in a half-space of ${\bf R}^N$ with a nonlinear boundary condition. Furthermore, we study the relationship between the life span of the solution and the behavior of the initial function.
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