Parabolic methods for ultraspherical interpolation inequalities

DOI10.3934/dcds.2022080zbMath1518.58014arXiv2202.07041OpenAlexW4221158081MaRDI QIDQ6160090

Jean Dolbeault, An Zhang

Publication date: 23 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07041

zbMATH Keywords

interpolationweightsregularityspherenonlinear parabolic equationsporous mediaflowsentropy methodsoptimal constantsfast diffusionCaffarelli-Kohn-Nirenberg inequalitiesGagliardo-Nirenberg-Sobolev inequalitiesultraspherical operator\textit{carré du champ} method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Markov semigroups and applications to diffusion processes (47D07) Degenerate parabolic equations (35K65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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