On a new transformation for generalised porous medium equations: from weak solutions to classical

2014/10/24 by Anna Zhigun, Zhigun, Anna · 1 citation
Computer Science · Engineering · Physics and Astronomy · #35B65 #35D35 #35K20 #35K57 #35K59 ("Secondary") #35K65 ("Primary") 35D30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1410.6622

openalex publication_date 2014/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is well-known that solutions for generalised porous medium equations are, in general, only Hölder continuous. In this note, we propose a new variable substitution for such equations which transforms weak solutions into classical.

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