Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
Guozhen Lu (1996)
Publicacions Matemàtiques
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Displaying similar documents to “Harnack inequality and Green function for a certain class of degenerate elliptic differential operators.”
Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
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We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
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Joseph G. Conlon, Peder Olsen (1999)
Publicacions Matemàtiques
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Consider 3-dimensional Brownian motion started on the unit sphere {|x| = 1} with initial density ρ. Let ρt be the first hitting density on the sphere {|x| = t + 1}, t > 0. Then the linear operators T defined by T ρ = ρ form a semigroup with an infinitesimal generator which is approximately the square root of the Laplacian. This paper studies the analogous situation for Brownian motion with a drift , where is small in a suitable scale invariant norm.
The laplacian and the discrete laplacian
Z. Ditzian (1989)
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