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

We derive Harnack-type inequalities for non-negative solutions of the porous medium equation on a complete Riemannian manifold with non-negative Ricci curvature. Along with gradient estimates, reparametrization of a geodesic and time rescaling of a solution are key tools to get the results.

키워드

Porous medium equationHarnack inequalitygeodesicRicci curvature
제목
HARNACK-TYPE INEQUALITIES FOR THE POROUS MEDIUM EQUATION ON A MANIFOLD WITH NON-NEGATIVE RICCI CURVATURE
저자
Chang, JeongwookLee, Jinho
DOI
10.1142/S0129167X11007525
발행일
2012-04
유형
Article
저널명
International Journal of Mathematics
23
4