Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential

DOI10.1016/j.jde.2023.02.026OpenAlexW3212259666MaRDI QIDQ2696212

Razvan Gabriel Iagar, Ariel Sánchez, Ana I. Muñoz

Publication date: 11 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04806

zbMATH Keywords

self-similar solutionsnon-uniquenessglobal solutionssingular potentialHardy-type equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Methods of ordinary differential equations applied to PDEs (35A24) Self-similar solutions to PDEs (35C06)

Related Items

Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations ⋮ Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential ⋮ Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

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