{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T19:16:36Z","timestamp":1694632596469},"reference-count":8,"publisher":"Vilnius Gediminas Technical University","issue":"2","content-domain":{"domain":["journals.vgtu.lt"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2008,6,30]]},"abstract":"<jats:p>We consider an impedance boundary\u2010value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a union of strips. Pseudo\u2010differential operators acting between Bessel potential spaces and Besov spaces are used to deal with this wave diffraction problem. In particular, these operators allow a reformulation of the problem into a system of integral equations. The main result presents impedance parameters which ensure the well-posedness of the problem in scales of Bessel potential spaces and Besov spaces.<\/jats:p>","DOI":"10.3846\/1392-6292.2008.13.183-194","type":"journal-article","created":{"date-parts":[[2008,5,7]],"date-time":"2008-05-07T13:44:04Z","timestamp":1210167844000},"page":"183-194","update-policy":"http:\/\/dx.doi.org\/10.3846\/jcem_policy","source":"Crossref","is-referenced-by-count":0,"title":["DIFFRACTION BY A UNION OF STRIPS WITH IMPEDANCE CONDITIONS IN BESOV AND BESSEL POTENTIAL SPACES"],"prefix":"10.3846","volume":"13","author":[{"given":"Luis P.","family":"Castro","sequence":"first","affiliation":[{"name":"Research Unit \u201cMatem\u00e1tica e Aplica\u00e7\u00f5es\", Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal"}]},{"given":"David","family":"Kapanadze","sequence":"additional","affiliation":[{"name":"Research Unit \u201cMatem\u00e1tica e Aplica\u00e7\u00f5es\", Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal"}]}],"member":"2209","reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-08-09288-5"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.04.037"},{"key":"CIT0003","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03537-5","volume-title":"Inverse Acoustic and Electromagnetic Scattering Theory","author":"Colton D.","year":"1998"},{"key":"CIT0004","first-page":"68","volume":"39","author":"Duduchava R.","year":"1990","journal-title":"Proc. I. Vekua Inst. Appl. Math. (Tbilisi State University)"},{"key":"CIT0005","first-page":"123","volume-title":"Georgian Math. J.","volume":"2","author":"Duduchava R.","year":"1995"},{"key":"CIT0006","first-page":"130","volume":"216","author":"Meister E.","year":"1989","journal-title":"Pitman Res. Notes Math. Ser."},{"key":"CIT0007","volume-title":"Interpolation Theory, Function Spaces, Differential Operators","author":"Triebel H.","year":"1995","edition":"2"},{"key":"CIT0008","first-page":"105","volume":"12","author":"Vekua I.N.","year":"1943","journal-title":"Trudy Tbilisskogo Matematicheskogo Instituta"}],"container-title":["Mathematical Modelling and Analysis"],"original-title":[],"link":[{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/7001\/6041","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T12:48:16Z","timestamp":1650631696000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.vilniustech.lt\/index.php\/MMA\/article\/view\/7001"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6,30]]},"references-count":8,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2008,6,30]]}},"URL":"https:\/\/doi.org\/10.3846\/1392-6292.2008.13.183-194","relation":{},"ISSN":["1392-6292","1648-3510"],"issn-type":[{"value":"1392-6292","type":"print"},{"value":"1648-3510","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,6,30]]},"assertion":[{"value":"Vilnius Gediminas Technical University","name":"this_article_is_maintained_by","label":"This article is maintained by"},{"value":"Research Article","name":"content_type","label":"Content Type"},{"value":"Yes","name":"crosschecked","label":"CrossChecked"},{"value":"Yes","order":0,"name":"peer_reviewed","label":"Peer Reviewed","group":{"name":"peer_review","label":"Peer Review"}},{"value":"Double blind","order":1,"name":"review_process","label":"Review Process","group":{"name":"peer_review","label":"Peer Review"}},{"value":"2007-08-06","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2007-12-17","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2008-06-30","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"@ 2008 Vilnius Gediminas Technical University Press","order":0,"name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}