Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on $ {\mathbb{R}}^N $

<p style='text-indent:20px;'>In this paper, we investigate a non-autonomous stochastic quasi-linear parabolic equation driven by multiplicative white noise Wong-Zakai approximation technique. The convergence of the solutions equations family processes with stationary increment to that differential is obtained in topology <inline-formula><tex-math id="M2">$ L^2( {\mathbb{R}}^N) $</tex-math></inline-formula> space. We establish approximations id="M3">$ L^l( for arbitrary id="M4">$ l\geq q sense upper semi-continuity their random attractors, where id="M5">$ growth exponent nonlinearity. id="M6">$ L^l $</tex-math></inline-formula>-pre-compactness attractors proved using truncation estimate id="M7">$ L^q and higher-order bound solutions.</p>