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A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations

A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations

On considere l'equation parabolique de la forme: Lu(x,t)≡Σ i,j=1 u Dx i (a ij (x,t)D xj u(x,t)−D t u(x,t)=0. On etudie les solutions u definie dans le cylindre D + ≡Dx(0,∞), D⊂R u qui sont non negatives et on etudie le comportement limite point par point