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Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance

This work has been supported by the Croatian Science Foundation under Grant agreement No. UIP-05-2017-7249 (MANDphy) and in part by the bilaterial project No. HR 04/2018 between OeAD and MZO
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{"cc_re__cc_re__cc_by_3_0": ["=\"Wed Jan 20 19:00:00 EST 2021 \"/>\r\n\t\r\n\t\t<meta name=\"citation_abstract_html_url\" content=\"/en/article/doi/10.3934/dcds.2021001?viewType=HTML\" />\r\n\t<meta name=\"citation_pdf_url\" content=\"https://www.aimsciences.org/data/article/export-pdf?id=9dbb9986-6de3-413a-8df8-a26834f7c18a\"/>\r\n\t<meta name=\"citation_public_url\" content=\"/en/article/doi/10.3934/dcds.2021001\" />\r\n\t\t<meta name=\"robots\" content=\"noarchive\" />\r\n\t\r\n\t\t<meta name=\"dc.publisher\" content=\"Discrete and Continuous Dynamical Systems\"/>\r\n\t<meta name=\"dc.rights\" content=\"http://creativecommons.org/licenses/by/3.0/\"/>\r\n\t<meta name=\"dc.format\" content=\"application/pdf\" />\r\n\t<meta name=\"dc.language\" content=\"en\" />\r\n\t<meta name=\"dc.description\" content=\"In this paper we construct a unique global in time weak nonnegative solution to the corrected Derrida-Lebowitz-Speer-Spohn equation, which statistically describes the interface fluctuations between two phases in a certain spin system. The construction of the weak solution is based on the dissipation of a Lyapunov functional which equals to the square of the Hel"], "copyright__copyright__copyright": ["e Hellinger distance\n\nThis work has been supported by the Croatian Science Foundation under Grant agreement No. UIP-05-2017-7249 (MANDphy) and in part by the bilaterial project No. HR 04/2018 between OeAD and MZO\nAbstract Full Text(HTML) Figure(2) / Table(1) Related Papers Cited by\n\nFigures(2)\n\nTables(1)\n\nSHARE\n\nArticle Metrics\n\nHTML views(597) PDF downloads(165) Cited by(0)\n\nAccess History\n\nOther Articles By Authors\n\nCatalog\n\n    /\n\n    DownLoad:\u00a0 Full-Size Img\u00a0 PowerPoint\n    Return\n    Return", "e Hellinger distance\n\nThis work has been supported by the Croatian Science Foundation under Grant agreement No. UIP-05-2017-7249 (MANDphy) and in part by the bilaterial project No. HR 04/2018 between OeAD and MZO\nAbstract Full Text(HTML) Figure(2) / Table(1) Related Papers Cited by\n\nFigures(2)\n\nTables(1)\n\nSHARE\n\nArticle Metrics\n\nHTML views(597) PDF downloads(165) Cited by(0)\n\nAccess History\n\nOther Articles By Authors\n\nCatalog\n\n    /\n\n    DownLoad:\u00a0 Full-Size Img\u00a0 PowerPoint\n    Return\n    Return", "e Hellinger distance\n\nThis work has been supported by the Croatian Science Foundation under Grant agreement No. UIP-05-2017-7249 (MANDphy) and in part by the bilaterial project No. HR 04/2018 between OeAD and MZO\nAbstract Full Text(HTML) Figure(2) / Table(1) Related Papers Cited by\n\nFigures(2)\n\nTables(1)\n\nSHARE\n\nArticle Metrics\n\nHTML views(597) PDF downloads(165) Cited by(0)\n\nAccess History\n\nOther Articles By Authors\n\nCatalog\n\n    /\n\n    DownLoad:\u00a0 Full-Size Img\u00a0 PowerPoint\n    Return\n    Return"]}