{"citation":{"short":"K. Dareiotis, M. Gerencser, B. Gess, Journal of Differential Equations 266 (2019) 3732–3763.","apa":"Dareiotis, K., Gerencser, M., & Gess, B. (2019). Entropy solutions for stochastic porous media equations. Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2018.09.012","ama":"Dareiotis K, Gerencser M, Gess B. Entropy solutions for stochastic porous media equations. Journal of Differential Equations. 2019;266(6):3732-3763. doi:10.1016/j.jde.2018.09.012","ista":"Dareiotis K, Gerencser M, Gess B. 2019. Entropy solutions for stochastic porous media equations. Journal of Differential Equations. 266(6), 3732–3763.","chicago":"Dareiotis, Konstantinos, Mate Gerencser, and Benjamin Gess. “Entropy Solutions for Stochastic Porous Media Equations.” Journal of Differential Equations. Elsevier, 2019. https://doi.org/10.1016/j.jde.2018.09.012.","ieee":"K. Dareiotis, M. Gerencser, and B. Gess, “Entropy solutions for stochastic porous media equations,” Journal of Differential Equations, vol. 266, no. 6. Elsevier, pp. 3732–3763, 2019.","mla":"Dareiotis, Konstantinos, et al. “Entropy Solutions for Stochastic Porous Media Equations.” Journal of Differential Equations, vol. 266, no. 6, Elsevier, 2019, pp. 3732–63, doi:10.1016/j.jde.2018.09.012."},"type":"journal_article","oa_version":"Preprint","month":"03","issue":"6","title":"Entropy solutions for stochastic porous media equations","doi":"10.1016/j.jde.2018.09.012","_id":"65","publication_status":"published","oa":1,"scopus_import":"1","publisher":"Elsevier","department":[{"_id":"JaMa"}],"page":"3732-3763","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publist_id":"7989","author":[{"last_name":"Dareiotis","full_name":"Dareiotis, Konstantinos","first_name":"Konstantinos"},{"last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","full_name":"Gerencser, Mate","first_name":"Mate"},{"last_name":"Gess","full_name":"Gess, Benjamin","first_name":"Benjamin"}],"language":[{"iso":"eng"}],"date_published":"2019-03-05T00:00:00Z","article_processing_charge":"No","year":"2019","date_created":"2018-12-11T11:44:26Z","publication":"Journal of Differential Equations","article_type":"original","external_id":{"arxiv":["1803.06953"],"isi":["000456332500026"]},"isi":1,"volume":266,"main_file_link":[{"url":"http://arxiv.org/abs/1803.06953","open_access":"1"}],"quality_controlled":"1","day":"5","status":"public","abstract":[{"text":"We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well-posedness and L1-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators Δ(|u|m−1u) for all m∈(1,∞), and Hölder continuous diffusion nonlinearity with exponent 1/2.","lang":"eng"}],"date_updated":"2023-08-24T14:30:16Z","intvolume":" 266"}