Loading…
Estimates for the Lowest Eigenvalue of Magnetic Laplacians
We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded 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...
Saved in:
Published in: | arXiv.org 2015-01 |
---|---|
Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
cited_by | |
---|---|
cites | |
container_end_page | |
container_issue | |
container_start_page | |
container_title | arXiv.org |
container_volume | |
creator | Ekholm, Tomas Kovarik, Hynek Portmann, Fabian |
description | We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded 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 field. |
format | article |
fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2081349872</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2081349872</sourcerecordid><originalsourceid>FETCH-proquest_journals_20813498723</originalsourceid><addsrcrecordid>eNqNjLEOgjAUABsTE4nyDy9xJimvIOhqMA64uZMX8ool2CIt-vsy-AFON9zlViJCpdKkzBA3Iva-l1LiocA8V5E4VT6YJwX2oN0E4cFQuw_7AJXp2L5pmBmchht1loNpoaZxoNaQ9Tux1jR4jn_civ2lup-vyTi517wsmt7Nk11Ug7JMVXYsC1T_VV-pkzam</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2081349872</pqid></control><display><type>article</type><title>Estimates for the Lowest Eigenvalue of Magnetic Laplacians</title><source>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</source><creator>Ekholm, Tomas ; Kovarik, Hynek ; Portmann, Fabian</creator><creatorcontrib>Ekholm, Tomas ; Kovarik, Hynek ; Portmann, Fabian</creatorcontrib><description>We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded 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 field.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Dirichlet problem ; Eigenvalues ; Lower bounds ; Upper bounds</subject><ispartof>arXiv.org, 2015-01</ispartof><rights>2015. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2081349872?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>Ekholm, Tomas</creatorcontrib><creatorcontrib>Kovarik, Hynek</creatorcontrib><creatorcontrib>Portmann, Fabian</creatorcontrib><title>Estimates for the Lowest Eigenvalue of Magnetic Laplacians</title><title>arXiv.org</title><description>We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded 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 field.</description><subject>Dirichlet problem</subject><subject>Eigenvalues</subject><subject>Lower bounds</subject><subject>Upper bounds</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNjLEOgjAUABsTE4nyDy9xJimvIOhqMA64uZMX8ool2CIt-vsy-AFON9zlViJCpdKkzBA3Iva-l1LiocA8V5E4VT6YJwX2oN0E4cFQuw_7AJXp2L5pmBmchht1loNpoaZxoNaQ9Tux1jR4jn_civ2lup-vyTi517wsmt7Nk11Ug7JMVXYsC1T_VV-pkzam</recordid><startdate>20150122</startdate><enddate>20150122</enddate><creator>Ekholm, Tomas</creator><creator>Kovarik, Hynek</creator><creator>Portmann, Fabian</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20150122</creationdate><title>Estimates for the Lowest Eigenvalue of Magnetic Laplacians</title><author>Ekholm, Tomas ; Kovarik, Hynek ; Portmann, Fabian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20813498723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Dirichlet problem</topic><topic>Eigenvalues</topic><topic>Lower bounds</topic><topic>Upper bounds</topic><toplevel>online_resources</toplevel><creatorcontrib>Ekholm, Tomas</creatorcontrib><creatorcontrib>Kovarik, Hynek</creatorcontrib><creatorcontrib>Portmann, Fabian</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ekholm, Tomas</au><au>Kovarik, Hynek</au><au>Portmann, Fabian</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Estimates for the Lowest Eigenvalue of Magnetic Laplacians</atitle><jtitle>arXiv.org</jtitle><date>2015-01-22</date><risdate>2015</risdate><eissn>2331-8422</eissn><abstract>We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded 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 field.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | EISSN: 2331-8422 |
ispartof | arXiv.org, 2015-01 |
issn | 2331-8422 |
language | eng |
recordid | cdi_proquest_journals_2081349872 |
source | Publicly Available Content Database (Proquest) (PQ_SDU_P3) |
subjects | Dirichlet problem Eigenvalues Lower bounds Upper bounds |
title | Estimates for the Lowest Eigenvalue of Magnetic Laplacians |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T12%3A21%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Estimates%20for%20the%20Lowest%20Eigenvalue%20of%20Magnetic%20Laplacians&rft.jtitle=arXiv.org&rft.au=Ekholm,%20Tomas&rft.date=2015-01-22&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2081349872%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_20813498723%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2081349872&rft_id=info:pmid/&rfr_iscdi=true |