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

2013/03/22 by Junichi Harada, Harada, Junichi
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Partial differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1303.5518

openalex publication_date 2013/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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