{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T07:48:44Z","timestamp":1648540124234},"reference-count":12,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We consider the Dirichlet Laplacian operator<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mo>\u2212<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><\/mml:mrow><\/mml:math>on a curved quantum guide in<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msup><mml:mi>\u211d\u2009\u2009<\/mml:mi><mml:mi>n<\/mml:mi><\/mml:msup><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>n<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>3<\/mml:mn><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method.<\/jats:p>","DOI":"10.1155\/2012\/651390","type":"journal-article","created":{"date-parts":[[2012,8,1]],"date-time":"2012-08-01T17:01:15Z","timestamp":1343840475000},"page":"1-12","source":"Crossref","is-referenced-by-count":0,"title":["Inverse Problem for a Curved Quantum Guide"],"prefix":"10.1155","volume":"2012","author":[{"given":"Laure","family":"Cardoulis","sequence":"first","affiliation":[{"name":"UT1 Ceremath, Universit\u00e9 de Toulouse, 21 All\u00e9es de Brienne, 31042 Toulouse Cedex 9, France"},{"name":"Institut de Math\u00e9matiques de Toulouse, Universit\u00e9 Paul Sabatier, UMR 5219, 31062 Toulouse Cedex 9, France"}]},{"given":"Michel","family":"Cristofol","sequence":"additional","affiliation":[{"name":"LATP, Universit\u00e9 d\u2019Aix-Marseille, UMR 7353, 39 rue Joliot Curie, 13453 Marseille Cedex 13, France"}]}],"member":"98","reference":[{"key":"6a","doi-asserted-by":"publisher","DOI":"10.1063\/1.528538"},{"key":"6b","doi-asserted-by":"publisher","DOI":"10.1002\/mma.426"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.45.14100"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1145475229"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1142\/S0129055X95000062"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/PL00005582"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.difgeo.2005.05.001"},{"issue":"37","key":"2","first-page":"79","year":"2012","journal-title":"Monograf\u00edas Matem\u00e1ticas Garc\u00eda De GalDeano"},{"key":"7"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.5802\/aif.204"},{"key":"1"},{"key":"10","volume":"4"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/651390.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/651390.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/651390.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T19:25:20Z","timestamp":1471548320000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/651390\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":12,"alternative-id":["651390","651390"],"URL":"https:\/\/doi.org\/10.1155\/2012\/651390","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}