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Green's functions for parabolic systems of second order in time-varying domains
Green's functions parabolic systems
2010/11/22
We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz ...
Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
the time derivative entropy Riemannian manifold
2010/11/23
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the manifold is compact, we provide two estimates on the rate of change of the entropy in terms of the lower...