A new transformation for the subcritical fast diffusion equation with source and applications

2025/02/14 by Iagar, Razvan Gabriel, Sánchez, Ariel
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.13154

Abstract

A new transformation for radially symmetric solutions to the subcritical fast diffusion equation with spatially inhomogeneous source ∂_tu=Δu^m+|x|^σu^p, posed for (x,t)∈ℝ^N×(0,∞) and with dimension and exponents N≥3, 0max\1,p_L(σ)\, having as starting point previous results by the authors.

Related

• Super fast vanishing solutions of the fast diffusion equation
• Global behaviour of solutions of the fast diffusion equation
• Asymptotic large time behavior of singular solutions of the fast diffusion equation
• Asymptotic behavior for the fast diffusion equation with absorption and singularity
• Solutions with snaking singularities for the fast diffusion equation