Remarks on some quasi-linear fourth order parabolic equations arising in mathematical physics

This note proves existence and uniqueness of strong solutions to a broad class of fourth-order quasi-linear parabolic equations in the class of Wiener spaces. It improves upon previous results in the literature, devoted to some special cases falling within the general framework developed here, in which uniqueness held true in a smaller class than the space where existence was proven. Gain of analyticity, as well as generalisations to higher-order equations and to propagation of higher regularities, are also discussed.