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Green function bounds and parabolic potentials on a half-space
Journal article   Peer reviewed

Green function bounds and parabolic potentials on a half-space

L Riahi
Potential analysis, Vol.15(1-2), pp.133-150
01/08/2001

Abstract

Mathematics Physical Sciences Science & Technology
By proving a lower and an upper bound for Green's function of certain parabolic operators with Lipschitz coefficients in R-n(+) x]0,T[, where R-+(n) ={x=(x(1),...,x(n))is an element of R-n : x(n)>0} and 0 <T <+infinity, we give a characterization of the associated parabolic potentials and we study in a last part the boundary behaviour of these potentials for n=1.

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