Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space
文献类型：期刊论文
| 作者 | Zhu, Rongchan1; Zhu, Xiangchan2
|
| 刊名 | POTENTIAL ANALYSIS
 |
| 出版日期 | 2021-11-26 |
| 页码 | 36 |
| 关键词 | Phi(4)(3) model Paracontrolled distributions Weak universality Space-time white noise Renormalisation |
| ISSN号 | 0926-2601 |
| DOI | 10.1007/s11118-021-09941-0 |
| 英文摘要 | We prove that the large scale behavior of a class of stochastic weakly nonlinear reactiondiffusion models on R-3 converges to the dynamical Phi(4)(3) model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanova (Commun. Math. Phys. 368, 1201-1266, 2019). |
| 资助项目 | National Key R&D Program of China[2020YFA0712700] ; NSFC[11771037] ; NSFC[12090014] ; NSFC[11688101] ; NSFC[11922103] ; key Lab of Random Complex Structures |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000722816000001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59628]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhu, Xiangchan |
| 作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Rongchan,Zhu, Xiangchan. Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space[J]. POTENTIAL ANALYSIS,2021:36. |
| APA | Zhu, Rongchan,&Zhu, Xiangchan.(2021).Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space.POTENTIAL ANALYSIS,36. |
| MLA | Zhu, Rongchan,et al."Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space".POTENTIAL ANALYSIS (2021):36. |
入库方式： OAI收割
来源：数学与系统科学研究院
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