Energy method for nonlocal Levy operators and stability of weak solutions

Date: Thursday February 9, 2023

Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: Towards a better description of sea states

Speaker: Dr. Guy Foghem
Affiliation: Technische Universität Dresden (Germany)

Abstract. Within the framework of Hilbert spaces, we solve nonlocal IntegroDifferential Equations (IDEs) driven Levy type operators on bounded domains with prescribed Dirichlet, Neumann or Robin conditions on the complement of the domain. A prototypical example of a nonlocal Levy operator includes the well known fractional Laplace operator. We also prove that local weak solutions of the classical PDEs with Dirichlet, Neumann conditions are L^2 limits of nonlocal weak solutions of the corresponding IDEs.


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