[Dottorcomp] Seminari di Matematica Applicata, 16/09/2025, Naian Liao

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 16 Settembre 2025, alle ore 15 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Naian Liao (University of Salzburg)

terrà un seminario dal titolo:

Harnack’s inequality for nonlocal parabolic equations.

Abstract: Harnack’s inequality asserts that the ratio of two values of
positive harmonic functions over a compact set is bounded. A Harnack-type
inequality for positive solutions to the heat equation was independently
formulated by Hadamard and Pini in 1954. A crucial character is the
so-called waiting-time phenomenon. A decade later Moser showed a deep
result that the Harnack inequality continued to hold for solutions to
parabolic equations with bounded and measurable coefficients. I will
introduce recent advances on Harnack’s inequality for nonlocal parabolic
equations.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/