A variational approach to a class of nonlinear Cauchy-Neumann problems – Alessandro Audrito (ETH Zurich)

Venue

Sala Riunioni (Dip. Matematica).

Abstract

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. In order to attend the seminar please fill in the form https://forms.gle/gomXVWyidFFpENA67

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