Lisbon Webinar in Analysis in Differential Equations

Non Linear Mean Value Properties for Monge-Ampère Equations

Transmissão através de Videoconferência

Por Julio D. Rossi (Universidad de Buenos Aires).

In recent years there has been an increasing interest in whether a mean value property, known to characterize harmonic functions, can be extended in some weak form to solutions of nonlinear equations. This question has been partially motivated by the surprising connection between Random Tug-of-War games and the normalized $p-$Laplacian discovered some years ago, where a nonlinear asymptotic mean value property for solutions of a PDE is related to a dynamic programming principle for an appropriate game.

Our goal in this talk is to show that an asymptotic nonlinear mean value formula holds for the classical Monge-Ampère equation.

Joint work with P. Blanc (Jyvaskyla), F. Charro (Detroit), and J.J. Manfredi (Pittsburgh).

Zoom | Password: lisbonwade


The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.

14h00-15h00
Título "Gostarias de realizar uma mobilidade Erasmus+?" e fotografia de jovem aluno

Candidaturas de 01 a 31 de dezembro.

Ação de formação para docentes e investigadores de Ciências.

A leading venue for presenting and discussing the latest research, industrial practice and innovations in dependable and secure computing.

Páginas