--- _id: '6028' abstract: - lang: eng text: We give a construction allowing us to build local renormalized solutions to general quasilinear stochastic PDEs within the theory of regularity structures, thus greatly generalizing the recent results of [1, 5, 11]. Loosely speaking, our construction covers quasilinear variants of all classes of equations for which the general construction of [3, 4, 7] applies, including in particular one‐dimensional systems with KPZ‐type nonlinearities driven by space‐time white noise. In a less singular and more specific case, we furthermore show that the counterterms introduced by the renormalization procedure are given by local functionals of the solution. The main feature of our construction is that it allows exploitation of a number of existing results developed for the semilinear case, so that the number of additional arguments it requires is relatively small. article_processing_charge: Yes (via OA deal) author: - first_name: Mate full_name: Gerencser, Mate id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87 last_name: Gerencser - first_name: Martin full_name: Hairer, Martin last_name: Hairer citation: ama: Gerencser M, Hairer M. A solution theory for quasilinear singular SPDEs. Communications on Pure and Applied Mathematics. 2019;72(9):1983-2005. doi:10.1002/cpa.21816 apa: Gerencser, M., & Hairer, M. (2019). A solution theory for quasilinear singular SPDEs. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21816 chicago: Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.” Communications on Pure and Applied Mathematics. Wiley, 2019. https://doi.org/10.1002/cpa.21816. ieee: M. Gerencser and M. Hairer, “A solution theory for quasilinear singular SPDEs,” Communications on Pure and Applied Mathematics, vol. 72, no. 9. Wiley, pp. 1983–2005, 2019. ista: Gerencser M, Hairer M. 2019. A solution theory for quasilinear singular SPDEs. Communications on Pure and Applied Mathematics. 72(9), 1983–2005. mla: Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.” Communications on Pure and Applied Mathematics, vol. 72, no. 9, Wiley, 2019, pp. 1983–2005, doi:10.1002/cpa.21816. short: M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72 (2019) 1983–2005. date_created: 2019-02-17T22:59:24Z date_published: 2019-02-08T00:00:00Z date_updated: 2023-08-24T14:44:31Z day: '08' ddc: - '500' department: - _id: JaMa doi: 10.1002/cpa.21816 external_id: isi: - '000475465000003' file: - access_level: open_access checksum: 09aec427eb48c0f96a1cce9ff53f013b content_type: application/pdf creator: kschuh date_created: 2020-01-07T13:25:55Z date_updated: 2020-07-14T12:47:17Z file_id: '7237' file_name: 2019_Wiley_Gerencser.pdf file_size: 381350 relation: main_file file_date_updated: 2020-07-14T12:47:17Z has_accepted_license: '1' intvolume: ' 72' isi: 1 issue: '9' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '02' oa: 1 oa_version: Published Version page: 1983-2005 publication: Communications on Pure and Applied Mathematics publication_status: published publisher: Wiley quality_controlled: '1' scopus_import: '1' status: public title: A solution theory for quasilinear singular SPDEs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 72 year: '2019' ...