[{"volume":37,"abstract":[{"lang":"eng","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."}],"arxiv":1,"doi":"10.1016/j.anihpc.2020.01.003","day":"01","isi":1,"external_id":{"isi":["000531049800007"],"arxiv":["1902.07635"]},"date_updated":"2023-08-17T14:35:46Z","citation":{"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>.","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.","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>","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>","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.","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>.","short":"M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 37 (2020) 663–682."},"year":"2020","article_type":"original","publisher":"Elsevier","page":"663-682","quality_controlled":"1","title":"Nondivergence form quasilinear heat equations driven by space-time white noise","intvolume":"        37","publication_status":"published","date_created":"2020-01-29T09:39:41Z","article_processing_charge":"No","department":[{"_id":"JaMa"}],"author":[{"full_name":"Gerencser, Mate","first_name":"Mate","last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87"}],"issue":"3","_id":"7388","scopus_import":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.07635"}],"oa":1,"publication_identifier":{"issn":["0294-1449"]},"date_published":"2020-05-01T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"month":"05","oa_version":"Preprint","publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire"}]