Periodic homogenisation for singular PDEs with generalised Besov spaces

Autor:	Chen, Yilin
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	We consider periodic homogenisation problems for gPAM, $\Phi^{4}_{3}$ and modified KPZ equations. Using Littlewood-Paley blocks, we establish para-products and commutator estimates for generalised Besov spaces associated with self-adjoint elliptic operators. With this, we show that, the homogenisation and renormalisation procedures commute in aforementioned models under suitable assumptions. Comment: There are some problems to be fixed and addressed in the current version. I am preparing a new version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.16320 Zobrazit plný text záznamu View this record from Arxiv