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In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.<\/jats:p>","DOI":"10.3390\/a13070170","type":"journal-article","created":{"date-parts":[[2020,7,16]],"date-time":"2020-07-16T10:54:46Z","timestamp":1594896886000},"page":"170","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["On the Well-Posedness of A High Order Convective Cahn-Hilliard Type Equations"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6019-4757","authenticated-orcid":false,"given":"Giuseppe Maria","family":"Coclite","sequence":"first","affiliation":[{"name":"Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, 70125 Bari, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lorenzo","family":"di Ruvo","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 di Bari, 70125 Bari, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1142\/S021989161550006X","article-title":"Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky-Hunter equation","volume":"12","author":"Coclite","year":"2015","journal-title":"J. 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