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Luca Rossi
Monday 19 November 2019
Luca Rossi (Università di Padova)
Stability analysis for parabolic problems in general unbounded domains
Abstract :
We discuss several notions of stability in the framework of elliptic and parabolic problems in unbounded domains.
Necessary and sufficient conditions for them to hold will be derived using some generalizations of the principal eigenvalue for an elliptic operator, inspired by a series of works in collaboration with H. Berestycki and F. Hamel. As an application, we will derive the validity of the "hair-trigger" effect for the Fisher-KPP equation on uniformly smooth domains, under Neumann boundary condition.