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arXiv · 2502.13154

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

Razvan Gabriel Iagar·Ariel Sánchez
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Abstract

A new transformation for radially symmetric solutions to the subcritical fast diffusion equation with spatially inhomogeneous source $$ \partial_tu=\Delta u^m+|x|^{\sigma}u^p, $$ posed for $(x,t)\in\mathbb{R}^N\times(0,\infty)$ and with dimension and exponents $$ N\geq3, \quad 0 \max\{1,p_L(\sigma)\}$, having as starting point previous results by the authors.

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Razvan Gabriel Iagar, Ariel Sánchez. 2025-02-14. A new transformation for the subcritical fast diffusion equation with source and applications. https://arxiv.org/abs/2502.13154

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