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Heat kernel estimates for the Bessel differential operator

Le : 21/09/2015 11h00
Par : Jacek Malecki, Ecole Polytechnique Wroclaw (Pologne)
Lieu : I 103
Lien web :
Résumé : I will present some recent results on sharp two-sided estimates of the heat kernels related to Bessel operators. The cases of intervals and half-spaces will be studied separately. The discussed estimates describe exactly the exponential behaviour of the kernels. It was achieved by applying the mixture of probabilistic and analytic methods. The results were obtained jointly with K. Bogus, G. Serafin and T. Zorawik.