Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614318 | Journal of Mathematical Analysis and Applications | 2016 | 17 Pages |
Abstract
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded, open, simply connected domain in two dimensions. When the magnetic field is constant, we give lower and upper bounds in terms of geometric quantities of the domain. We furthermore prove a lower bound for the first magnetic Neumann eigenvalue in the case of constant magnetic field.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tomas Ekholm, Hynek Kovařík, Fabian Portmann,