Geodesic
Weyl’s law for Neumann Schrödinger operators on Hölder domains
Dietze, Charlotte1
1Department of Mathematics, LMU Munich, Theresienstr. 39, 80333 Munich, Germany & Institut des Hautes Études Scientifiques, 35 route de Chartres, 91440 Bures-sur-Yvette, France
Séminaire Laurent Schwartz — EDP et applications (2022-2023), Talk no. 9, 9 p.

See the original proceeding notice from the Numdam source

We review recent results on the semiclassical behaviour of Schrödinger operators with Neumann boundary conditions. In this setting, the validity of Weyl’s law requires additional conditions on the potential. We will explain the techniques needed to control the number of bound states near the boundary, thus leading to universal estimates on the number of bound states.

Published online:
DOI: 10.5802/slsedp.158

Dietze, Charlotte  1

1 Department of Mathematics, LMU Munich, Theresienstr. 39, 80333 Munich, Germany & Institut des Hautes Études Scientifiques, 35 route de Chartres, 91440 Bures-sur-Yvette, France 
Dietze, Charlotte. Weyl’s law for Neumann Schrödinger operators on Hölder domains. Séminaire Laurent Schwartz — EDP et applications (2022-2023), Talk no. 9, 9 p.. doi: 10.5802/slsedp.158
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     title = {Weyl{\textquoteright}s law for {Neumann} {Schr\"odinger} operators on {H\"older} domains},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:9},
     pages = {1--9},
     year = {2022-2023},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     doi = {10.5802/slsedp.158},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/slsedp.158/}
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