{"abstract":[{"text":"We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in 1 + 1 dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful arrangement of a few hundred terms is required. The main tool in this computation is a general ‘integration by parts’ formula that provides a number of linear identities for the renormalisation constants.","lang":"eng"}],"isi":1,"publisher":"Elsevier","type":"journal_article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.07635"}],"day":"01","oa":1,"title":"Nondivergence form quasilinear heat equations driven by space-time white noise","intvolume":"        37","date_published":"2020-05-01T00:00:00Z","external_id":{"isi":["000531049800007"],"arxiv":["1902.07635"]},"article_processing_charge":"No","doi":"10.1016/j.anihpc.2020.01.003","citation":{"apa":"Gerencser, M. (2020). Nondivergence form quasilinear heat equations driven by space-time white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">https://doi.org/10.1016/j.anihpc.2020.01.003</a>","ieee":"M. Gerencser, “Nondivergence form quasilinear heat equations driven by space-time white noise,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>, vol. 37, no. 3. Elsevier, pp. 663–682, 2020.","ama":"Gerencser M. Nondivergence form quasilinear heat equations driven by space-time white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>. 2020;37(3):663-682. doi:<a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">10.1016/j.anihpc.2020.01.003</a>","chicago":"Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">https://doi.org/10.1016/j.anihpc.2020.01.003</a>.","ista":"Gerencser M. 2020. Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 37(3), 663–682.","short":"M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 37 (2020) 663–682.","mla":"Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, vol. 37, no. 3, Elsevier, 2020, pp. 663–82, doi:<a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">10.1016/j.anihpc.2020.01.003</a>."},"article_type":"original","quality_controlled":"1","_id":"7388","status":"public","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate","full_name":"Gerencser, Mate","last_name":"Gerencser"}],"publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","department":[{"_id":"JaMa"}],"page":"663-682","year":"2020","volume":37,"publication_identifier":{"issn":["0294-1449"]},"language":[{"iso":"eng"}],"issue":"3","date_created":"2020-01-29T09:39:41Z","date_updated":"2023-08-17T14:35:46Z","publication_status":"published","month":"05","scopus_import":"1","oa_version":"Preprint"}