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By similar arguments the linearized state system is discussed, while the adjoint system involving measures is investigated using a duality argument. These results allow us to derive first-order necessary conditions for the optimal control problem.<\/jats:p>","DOI":"10.1137\/080736259","type":"journal-article","created":{"date-parts":[[2010,2,17]],"date-time":"2010-02-17T18:07:17Z","timestamp":1266430037000},"page":"3449-3481","source":"Crossref","is-referenced-by-count":33,"title":["Optimal Control for the Thermistor Problem"],"prefix":"10.1137","volume":"48","author":[{"given":"D.","family":"H\u00f6mberg","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C.","family":"Meyer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J.","family":"Rehberg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"W.","family":"Ring","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,2,17]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"H. 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