We consider periodic homogenisation problems for gPAM, Φ⁴₃ 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.
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Yilin Chen (2024) studied this question.
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