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Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
semigroup Riemannian manifolds singular data
2010/11/12
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We sho...
Inhomogeneous theory of dual Diophantine approximation on manifolds
Metric Diophantine approximation extremal manifolds
2010/12/14
The inhomogeneous Groshev type theory for dual Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence part of the theory is e...