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On the regularity of the principal eigenvalue of the Schrödinger operator on bounded domains

Speaker(s)
Marcin Małogrosz
Affiliation
Politechnika Warszawska
Date
Nov. 29, 2018, 12:30 p.m.
Room
room 5070
Seminar
Seminar of Mathematical Physics Equations Group

I will present my recent result concerning Lipschitz continuity of the principal eigenvalue of the Schrödinger operator H = - Δ + V on a bounded domain with respect to perturbations of the potential V in Lebesgue spaces. An application to linear stability analysis of stationary solutions of reaction-diffusion equations will be discussed as well.