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Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space
Zhu, Rongchan1; Zhu, Xiangchan2
AbstractWe 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).
KeywordPhi(4)(3) model Paracontrolled distributions Weak universality Space-time white noise Renormalisation
Indexed BySCI
Funding ProjectNational Key R&D Program of China[2020YFA0712700] ; NSFC[11771037] ; NSFC[12090014] ; NSFC[11688101] ; NSFC[11922103] ; key Lab of Random Complex Structures
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000722816000001
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Document Type期刊论文
Corresponding AuthorZhu, Xiangchan
Affiliation1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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