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arxiv: 1303.5518 · v1 · pith:2TNA5XI4new · submitted 2013-03-22 · 🧮 math.AP

Blow-up behavior of solutions to the heat equation with nonlinear boundary conditions

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keywords blow-upbehaviorsolutionsasymptoticboundaryconditionsequationheat
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We study the asymptotic behavior of blow-up solutions of the heat equation with nonlinear boundary conditions. In particular, we classify the asymptotic behavior of blow-up solutions and investigate the spacial singularity of their blow-up profiles.

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