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

Prelegent(ci)
Marcin Małogrosz
Afiliacja
Politechnika Warszawska
Termin
29 listopada 2018 12:30
Pokój
p. 5070
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

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.