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For that, an <jats:italic>ad hoc<\/jats:italic> type of perturbation of the operator is proposed.<\/jats:p>","DOI":"10.1515\/anona-2020-0015","type":"journal-article","created":{"date-parts":[[2019,6,28]],"date-time":"2019-06-28T09:03:31Z","timestamp":1561712611000},"page":"591-612","source":"Crossref","is-referenced-by-count":10,"title":["Lewy-Stampacchia\u2019s inequality for a pseudomonotone parabolic problem"],"prefix":"10.1515","volume":"9","author":[{"given":"Olivier","family":"Guib\u00e9","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem , UMR 6085 CNRS, Av. de \u013eUniversit\u00e9 , BP.12, 76801 , Saint-\u00c9tienne-du-Rouvray , France"}]},{"given":"A.","family":"Mokrane","sequence":"additional","affiliation":[{"name":"Laboratoire \u010f\u00e9quations aux d\u00e9riv\u00e9es partielles non lin\u00e9aires et histoire des math\u00e9matiques , \u00c9cole Normale Sup\u00e9rieure , B.P. 92, Vieux Kouba, 16050 , Alger , Alg\u00e9rie"}]},{"given":"Y.","family":"Tahraoui","sequence":"additional","affiliation":[{"name":"Laboratoire \u010f\u00e9quations aux d\u00e9riv\u00e9es partielles non lin\u00e9aires et histoire des math\u00e9matiques , \u00c9cole Normale Sup\u00e9rieure , B.P. 92, Vieux Kouba, 16050 , Alger , Alg\u00e9rie"}]},{"given":"G.","family":"Vallet","sequence":"additional","affiliation":[{"name":"Laboratoire de Math\u00e9matiques et Applications de Pau , UMR CNRS 5142, BP1155, 64013 , Pau cedex , France"}]}],"member":"374","published-online":{"date-parts":[[2019,6,23]]},"reference":[{"key":"2021020917370822042_j_anona-2020-0015_ref_001","doi-asserted-by":"crossref","unstructured":"H. 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