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Thursday, July 11, 2024 - 15:15 in H8 + Zoom


Nonlinear Dirichlet Forms

A talk in the Bielefeld Stochastic Afternoon series by
Giovanni Brigati

Abstract: Starting from a paper by Cipriani and Grillo, we study an extension to the nonlinear case of the classical Dirichlet forms.

Equivalent characterisations of those are given, in the spirit of the analysis by Ma and Röckner for bilinear forms.

Then, Lipschitz contraction properties of nonlinear Dirichlet forms are derived.

Finally, the analysis is specialised to the 2-homogeneous case, which shows some properties reminiscent of bilinear Dirichlet forms and differential calculus.

Within the CRC this talk is associated to the project(s): A5



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