Calculus of Variations and Geometric Measure Theory

A variational approach to a class of nonlinear Cauchy-Neumann problems

Alessandro Audrito

created by gelli on 18 Oct 2021
modified on 25 Oct 2021

25 oct 2021 -- 14:30   [open in google calendar]

Aula Riunioni Dipartimento di Matematica di Pisa

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In this talk, I will present some recent results about existence and Holder regularity of weak solutions to a class of nonlinear Cauchy-Neumann problems arising in combustion theory and fractional diffusion. Weak solutions are obtained through a nonstandard variational approximation procedure, known in the literature as the Weighted Inertia-Energy-Dissipation method. To pass to the limit, we show the existence of an approximating sequence satisfying some new uniform parabolic H?lder estimate of De Giorgi-Nash-Moser type and some uniform energy estimates.