Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights
Abstract
We investigate fine global properties of nonnegative, integrable solutions to the Cauchy problem for the Fast Diffusion Equation with weights (WFDE) $u_t=|x|^\gamma\mathrm{div}\left(|x|^{-\beta}\nabla u^m\right)$ posed on $(0,+\infty)\times\mathbb{R}^d$, with $d\ge 3$, in the so-called good fast diffusion range $m_c
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Analysis of PDEs [math.AP]Nikita Simonov : Connect in order to contact the contributor
https://hal.science/hal-03159917
Submitted on : Thursday, March 4, 2021-6:50:47 PM
Last modification on : Monday, May 27, 2024-2:41:20 PM
Cite
Matteo Bonforte, Nikita Simonov. Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights. 2021. ⟨hal-03159917⟩
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