{"corpus_id":263858064,"paper_sha":"04d577f7ea0ac0d2b91a1943645057cadd29e4b5","doi":"10.3233/ASY-2010-0978","arxiv_id":"0905.3460","pmid":null,"pmcid":null,"mag_id":2949270587,"dblp_id":"journals/asy/Raymond10","acl_id":null,"title":"On the semiclassical 3D Neumann Laplacian with variable magnetic field","year":2009,"publication_date":"2009-05-21","venue":"Asymptotic Analysis","journal":{"name":"Asymptotic Analysis","pages":"1 - 40","volume":"68"},"journal_issn":null,"journal_title":null,"publication_types":["JournalArticle"],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Physics","Computer Science"],"reference_count":0,"citation_count":21,"influential_citation_count":4,"is_open_access":false,"arxiv_categories":["math-ph","math.MP","math.SP"],"arxiv_license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"In this paper we are interested in the semiclassical estimates of the spectrum of the Neumann Laplacian in dimension 3. This work aims to present a complementary case to the one presented in the paper of Helffer and Morame in the case of constant magnetic field. 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