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Solutions positives et mesure harmonique pour des opérateurs paraboliques dans des ouverts «lipschitziens»

Solutions positives et mesure harmonique pour des opérateurs paraboliques dans des ouverts «lipschitziens»

Let L be a parabolic operator on R n+1 written in divergence form and with Lipschitz coefficients relatively to an adapted metric. We compare, near the boundary, the relative behavior of positive L-solutions on a Lipschitz domain. We first establish a so-called weak boundary Harnack principle. We then establish a …