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Mathematics > Analysis of PDEs

Title: Periodic homogenisation for singular PDEs with generalised Besov spaces

Authors: Yilin Chen
(Submitted on 25 Apr 2024 (v1), last revised 28 Apr 2024 (this version, v2))
Abstract: 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.
Comments: There are some problems to be fixed and addressed in the current version. I am preparing a new version
Subjects: Analysis of PDEs (math.AP); Probability (math.PR)
Cite as: arXiv:2404.16320 [math.AP]
  (or arXiv:2404.16320v2 [math.AP] for this version)

Submission history

From: Yilin Chen [view email]
[v1] Thu, 25 Apr 2024 03:56:55 GMT (60kb)
[v2] Sun, 28 Apr 2024 11:21:48 GMT (62kb)
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