Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound
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en
Article de revue
Este ítem está publicado en
Bulletin des Sciences Mathématiques. 2014-07-01, vol. 138, n° 5, p. 643-655
Elsevier
Resumen en inglés
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) di usion semigroups on a Riemannian manifold (possibly with boundary). This inequality as ...Leer más >
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) di usion semigroups on a Riemannian manifold (possibly with boundary). This inequality as well as the consequent L^2 gradient inequality, are proved to be equivalent to the pointwise curvature lower bound condition together with the convexity or absence of the boundary. Some applications of the log-Harnack inequality are also introduced.< Leer menos
Palabras clave en inglés
Log-Harnack inequality
Riemannian manifold
diffusion process
Orígen
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