On critical value of the coupling constant in exterior elliptic problems
We consider exterior elliptic problems with coefficients stabilizing at infinity and study the critical value $\beta_{cr}$ of the coupling constant (the coefficient at the potential) that separates operators with a discrete spectrum and those without it. The dependence of $\beta_{cr}$ on the boundar...
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| creator | Puri, R Vainberg, B |
| description | We consider exterior elliptic problems with coefficients stabilizing at
infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated. |
| doi_str_mv | 10.48550/arxiv.1812.10132 |
| format | Article |
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infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated.</description><identifier>DOI: 10.48550/arxiv.1812.10132</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Mathematics - Spectral Theory ; Physics - Mathematical Physics</subject><creationdate>2018-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1812.10132$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1812.10132$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Puri, R</creatorcontrib><creatorcontrib>Vainberg, B</creatorcontrib><title>On critical value of the coupling constant in exterior elliptic problems</title><description>We consider exterior elliptic problems with coefficients stabilizing at
infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated.</description><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Spectral Theory</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7FuwjAURb0wVMAHdMI_kDTPTmJnRIhCJSQW9ujFeW4tGSdyDKJ_35R2une5R_cw9gpFXuqqKt4wPtw9Bw0ihwKkeGHHc-AmuuQMen5HfyM-WJ6-iJvhNnoXPucSpoQhcRc4PRJFN0RO3rtxXvExDp2n67RiC4t-ovV_LtnlfX_ZHbPT-fCx254yrJXIKk1NaQQ0oOY_ZFUJ2KMGRDAdEmhhq77vaiS0pQWBUBvbU2OVFLJRUi7Z5g_7VGnH6K4Yv9tfpfapJH8A-YFHuQ</recordid><startdate>20181225</startdate><enddate>20181225</enddate><creator>Puri, R</creator><creator>Vainberg, B</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20181225</creationdate><title>On critical value of the coupling constant in exterior elliptic problems</title><author>Puri, R ; Vainberg, B</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-58e94c21917550ef741ada81aa1cbae182f5ddb6aeaf4f12a16cfde9f73239733</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Spectral Theory</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Puri, R</creatorcontrib><creatorcontrib>Vainberg, B</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Puri, R</au><au>Vainberg, B</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On critical value of the coupling constant in exterior elliptic problems</atitle><date>2018-12-25</date><risdate>2018</risdate><abstract>We consider exterior elliptic problems with coefficients stabilizing at
infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated.</abstract><doi>10.48550/arxiv.1812.10132</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics |
| title | On critical value of the coupling constant in exterior elliptic problems |
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