Quasi-linear stochastic wave and heat equations with additive Gaussian noise are shown to converge in law as the spatial spectral measures of the noise converge, under uniform integrability and initial-data conditions.
The proof is similar to that of Step 3 in [11, Sec
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Convergence in law for quasi-linear SPDEs
Quasi-linear stochastic wave and heat equations with additive Gaussian noise are shown to converge in law as the spatial spectral measures of the noise converge, under uniform integrability and initial-data conditions.