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Estimates for the lowest eigenvalue of magnetic Laplacians
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2016 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 439, no 1, 330-346 p.Article in journal (Refereed) PublishedText
Abstract [en]

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. 

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 439, no 1, 330-346 p.
Keyword [en]
Magnetic fields, Magnetic Dirichlet Laplacian, Eigenvalues
National Category
URN: urn:nbn:se:kth:diva-185593DOI: 10.1016/j.jmaa.2016.02.073ISI: 000372941500020ScopusID: 2-s2.0-84960481740OAI: diva2:924021

QC 20160427

Available from: 2016-04-27 Created: 2016-04-25 Last updated: 2016-04-27Bibliographically approved

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Ekholm, Tomas
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