A remark on infinite initial values for quasilinear parabolic equations

2018/11/28 by Peter Lindqvist, Lindqvist, Peter, Mikko Parviainen +1
Computer Science · Mathematics · #35J62 #35J92 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #msc:35J62 #msc:35J92

paper · pdf · doi:10.48550/arxiv.1811.11541

arxiv created 2018/11/28 · openalex publication_date 2018/11/28 · arxiv updated 2018/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the possibility of prescribing infinite initial values for solutions of the Evolutionary p-Laplace Equation in the fast diffusion case p>2. This expository note has been extracted from our previous work. When infinite values are prescribed on the whole initial surface, such solutions can exist only if the domain is a space-time cylinder.

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