Geodesic
Weyl’s law for Neumann Schrödinger operators on Hölder domains
Dietze, Charlotte1
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
Séminaire Laurent Schwartz — EDP et applications (2022-2023), Exposé no. 9, 9 p.

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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.

Publié le :
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 
@article{SLSEDP_2022-2023____A3_0,
     author = {Dietze, Charlotte},
     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},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2022-2023},
     doi = {10.5802/slsedp.158},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/slsedp.158/}
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Dietze, Charlotte. Weyl’s law for Neumann Schrödinger operators on Hölder domains. Séminaire Laurent Schwartz — EDP et applications (2022-2023), Exposé no. 9, 9 p.. doi: 10.5802/slsedp.158

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