{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:28:05Z","timestamp":1787322485253,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p>A linear quadratic Dirichlet control problem governed by an elliptic equation posed on a possibly nonconvex polygonal domain is analyzed. Detailed regularity results are provided in classical Sobolev (Slobodetski\u012d) spaces. In particular, it is proved that in the presence of pointwise control constraints, the optimal control is continuous despite the nonconvexity of the domain.<\/jats:p>","DOI":"10.1137\/140994186","type":"journal-article","created":{"date-parts":[[2015,12,10]],"date-time":"2015-12-10T12:22:13Z","timestamp":1449750133000},"page":"3620-3641","source":"Crossref","is-referenced-by-count":34,"title":["On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains"],"prefix":"10.1137","volume":"53","author":[{"given":"Thomas","family":"Apel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mariano","family":"Mateos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Johannes","family":"Pfefferer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arnd","family":"R\u00f6sch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,12,10]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"T. Apel, S. Nicaise, and J. Pfefferer,\n                      Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains\n                      , preprint, arXiv:1505.01229, 2015.","DOI":"10.1002\/num.22057"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903382048"},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"S. Brenner and L. Scott,\n                      The Mathematical Theory of Finite Element Methods\n                      , Springer-Verlag, Berlin, 1994.","DOI":"10.1007\/978-1-4757-4338-8"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1137\/100794882"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2008049"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/050626600"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/0519043"},{"key":"atypb8","doi-asserted-by":"crossref","unstructured":"M. Dauge,\n                      Elliptic Boundary Value Problems in Corner Domains\n                      , Lecture Notes in Math. 1341, Springer-Verlag, Berlin, 1988.","DOI":"10.1007\/BFb0086682"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01204238"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1137\/080735369"},{"key":"atypb11","unstructured":"P. Grisvard,\n                      Elliptic problems in nonsmooth domains\n                      , Monogr. Stud. Math. 24, Pitman, Boston, MA, 1985."},{"key":"atypb12","unstructured":"P. Grisvard,\n                      Singularities in Boundary Value Problems\n                      , Rech. Math. Appl., Masson, Paris, 1992."},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1006\/jfan.1995.1067"},{"key":"atypb14","unstructured":"J. Lions and E. Magenes,\n                      Proble\u0300mes aux Limites non Homoge\u0300nes\n                      , Dunod, Paris, 1968."},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1137\/080735734"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1002\/mma.1356"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-014-0653-x"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.5802\/aif.204"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/140994186","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:22:25Z","timestamp":1787318545000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/140994186"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":18,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1137\/140994186"],"URL":"https:\/\/doi.org\/10.1137\/140994186","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}