{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T12:29:35Z","timestamp":1762432175983,"version":"build-2065373602"},"reference-count":34,"publisher":"IOP Publishing","issue":"5","license":[{"start":{"date-parts":[[2022,4,7]],"date-time":"2022-04-07T00:00:00Z","timestamp":1649289600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2022,4,7]],"date-time":"2022-04-07T00:00:00Z","timestamp":1649289600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Universit\u00e0 Ca\u2019 Foscari di Venezia"},{"DOI":"10.13039\/100010665","name":"H2020 Marie Sk\u0142odowska-Curie Actions","doi-asserted-by":"crossref","award":["EffectFact"],"award-info":[{"award-number":["EffectFact"]}],"id":[{"id":"10.13039\/100010665","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Istituto Nazionale di Alta Matematica \\\u2018Francesco Severi\\\u2019"},{"DOI":"10.13039\/501100003500","name":"Universit\u00e0 degli Studi di Padova","doi-asserted-by":"crossref","award":["BIRD191739\/19"],"award-info":[{"award-number":["BIRD191739\/19"]}],"id":[{"id":"10.13039\/501100003500","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Inverse Problems"],"published-print":{"date-parts":[[2022,5,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon a certain set of parameters. As usual, the problem is modeled by an exterior Dirichlet problem for the Helmholtz equation \u0394<jats:italic>u<\/jats:italic> + <jats:italic>k<\/jats:italic>\n                  <jats:sup>2<\/jats:sup>\n                  <jats:italic>u<\/jats:italic> = 0. We show that the solution <jats:italic>u<\/jats:italic> and its far field pattern <jats:italic>u<\/jats:italic>\n                  <jats:sub>\u221e<\/jats:sub> depend real analytically on the shape of the obstacle, the wave number <jats:italic>k<\/jats:italic>, and the Dirichlet datum. We also prove a similar result for the corresponding Dirichlet-to-Neumann map.<\/jats:p>","DOI":"10.1088\/1361-6420\/ac5eea","type":"journal-article","created":{"date-parts":[[2022,3,17]],"date-time":"2022-03-17T18:41:25Z","timestamp":1647542485000},"page":"055004","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Multi-parameter analysis of the obstacle scattering problem"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5519-3327","authenticated-orcid":false,"given":"Matteo","family":"Dalla Riva","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0765-001X","authenticated-orcid":true,"given":"Paolo","family":"Luzzini","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7366-5124","authenticated-orcid":true,"given":"Paolo","family":"Musolino","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2022,4,7]]},"reference":[{"key":"ipac5eeabib1","doi-asserted-by":"publisher","first-page":"1137","DOI":"10.1088\/0266-5611\/11\/6\/002","type":"journal-article","article-title":"On the Fr\u00e9chet differentiability of boundary integral operators in the inverse elastic scattering problem","volume":"11","author":"Charalambopoulos","year":"1995","journal-title":"Inverse Problems"},{"key":"ipac5eeabib2","doi-asserted-by":"publisher","first-page":"1720","DOI":"10.1137\/16m1099406","type":"journal-article","article-title":"Shape holomorphy of the stationary Navier\u2013Stokes equations","volume":"50","author":"Cohen","year":"2018","journal-title":"SIAM J. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2021-10-11","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2022-03-17","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2022-04-07","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}