Porous media equation and Sobolev inequalities under negative curvature

DOI10.1016/j.bulsci.2005.05.003zbMath1088.58507OpenAlexW2044944109MaRDI QIDQ817235

Jérôme Demange

Publication date: 8 March 2006

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2005.05.003

zbMATH Keywords

Sobolev inequalitiesporous media equationcurvature-dimension criterion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Inequalities involving derivatives and differential and integral operators (26D10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Gradient estimates and Harnack inequalities for diffusion equation on Riemannian manifolds, Nonlinear flows and rigidity results on compact manifolds, Duality and stability for functional inequalities, Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds

Cites Work

• Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
• A note on the isoperimetric constant
• Sobolev inequalities in disguise
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item