HARNACK-TYPE INEQUALITIES FOR THE POROUS MEDIUM EQUATION ON A MANIFOLD WITH NON-NEGATIVE RICCI CURVATURE

DOI10.1142/S0129167X11007525zbMath1239.53054OpenAlexW2086323080WikidataQ125292594 ScholiaQ125292594MaRDI QIDQ5389542

Jeongwook Chang, Jin Ho Lee

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x11007525

zbMATH Keywords

Harnack inequalityRicci curvaturegeodesicporous medium equation

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Continuous maximal regularity on singular manifolds and its applications

Cites Work

• Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations
• On the parabolic kernel of the Schrödinger operator
• Local behavior of solutions of quasilinear parabolic equations
• A harnack inequality for parabolic differential equations

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