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This system may be regarded as a modified version of the well-known thermistor problem; in this case, the unknowns are the temperature in a conductor and the electrical potential.<\/jats:p>","DOI":"10.1137\/s0036141003423041","type":"journal-article","created":{"date-parts":[[2005,8,9]],"date-time":"2005-08-09T16:06:43Z","timestamp":1123603603000},"page":"1991-2003","source":"Crossref","is-referenced-by-count":6,"title":["Renormalized Solutions to a Nonlinear Parabolic-Elliptic System"],"prefix":"10.1137","volume":"36","author":[{"given":"Mar\u00eda Teresa Gonz\u00e1lez","family":"Montesinos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Francisco Orteg\u00f3n","family":"Gallego","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,1]]},"reference":[{"key":"R1","volume-title":"Sobolev spaces","author":"Adams Robert","year":"1975"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/48.3.271"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1017\/S0956792500001686"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141092233482"},{"key":"R5","first-page":"0","volume":"38","author":"Antontsev S.","year":"1997","journal-title":"Sibirsk. 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Orteg\u00f3n Gallego,\n                      Existencia y unicidad de soluci\u00f3n renorma\u2010lizada para la ecuaci\u00f3n de Kolmog\u00f3rov\n                      , in Actas de la Jornada Cient\u00edfica en homenaje al Prof. Antonio Valle S\u00e1nchez, Sevilla, 1997, pp. 167\u2013183."},{"key":"R19","unstructured":"M. G\u00f3mez M\u00e1rmol,\n                      Estudio Matem\u00e1tico de Algunos Problemas no Lineales de la Mec\u00e1nica de Fluidos Incompresibles\n                      , Ph.D. thesis, Universidad de Sevilla, Seville, Spain, 1998."},{"key":"R20","unstructured":"M. T. Gonz\u00e1lez Montesinos,\n                      Estudio Matem\u00e1tico de Algunos Problemas no Lineales del Electromagnetismo Relacionados con el Problema del Termistor\n                      , Ph.D. thesis, Universidad de C\u00e1diz, C\u00e1diz, Spain, 2002."},{"key":"R21","unstructured":"J. L. 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