This analysis presents an innovative method for stochastic estimates in the φ^{4}_2-equation, suggesting efficiency when coefficients correlate with driving noise.
We develop an inductive approach to obtaining stochastic estimates for the φ⁴₂-equation when the coefficient field is correlated with the driving noise. Our method is based on (infinite-dimensional) Gaussian integration by parts with respect to Wick products of Gaussian random variables (more precisely, mollifications of space-time white noise)
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Nicolas Clozeau (2025) studied this question.
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