Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights

2020/02/23 by Matteo Bonforte, Bonforte, Matteo, Nikita Simonov +1
Computer Science · Mathematics · #35B40 #35B45 #35K55 #35K65 #35K67 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2002.09967

openalex publication_date 2020/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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|^γdiv(|x|^-β∇ u^m) posed on (0,+∞)×ℝ^d, with d≥ 3, in the so-called good fast diffusion range m_c

Citations

• An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations

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