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An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Interior Gradient Estimate class of Second Order Partial Differential Inequalities
2011/2/22
In this paper, we show a uniform gradient estimate for functions u defined on a domain
in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
Gradient Estimate on the Neumann Semigroup and Applications
Gradient estimate Neumann semigroup reflecting Brownian motion
2010/12/3
We prove the following sharp upper bound for the gradient of the Neumann semigroup Pt on a d-dimensional compact domain with boundary either C2- smooth or convex: k∇Ptk1→∞ ≤c t(d+1)/2
, t > 0,...