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arXiv · 2606.08861

Boundedness and evolution rates for a quasilinear reaction-diffusion equation

Razvan Gabriel Iagar·Marta Latorre·Ariel Sánchez
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Abstract

We consider the following quasilinear reaction-diffusion equation $$ \partial_tu=\Delta u^m+(1+|x|)^{\sigma}u^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty), $$ in dimension $N\geq3$ and in the range of exponents $1 -2$, illustrating the character of threshold of the exponent $\sigma=-2$.

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Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez. 2026-06-07. Boundedness and evolution rates for a quasilinear reaction-diffusion equation. https://arxiv.org/abs/2606.08861

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