
This paper is concerned with gradient estimates and Harnack inequalities for positive solutions on compact Riemannian manifolds \(M\) with boundary. The author defines the ``interior rolling \(R\)-ball'' condition and generalizes results of P. Li and S. T. Yau to the case in which \(M\) has a (possibly nonconvex) boundary satisfying this condition.
Harnack inequalities, Heat and other parabolic equation methods for PDEs on manifolds, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, A priori estimates in context of PDEs, gradient estimate
Harnack inequalities, Heat and other parabolic equation methods for PDEs on manifolds, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, A priori estimates in context of PDEs, gradient estimate
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