On the parabolic ${\Phi }_3^4$ model for the harmonic oscillator II: global existence and invariant measures

Aurélien Deya, Reika Fukuizumi, Laurent Thomann

We establish an a priori bound for the dynamical parabolic ${\Phi }_3^4$ model with harmonic potential. This bound yields the global well-posedness of the equation and, via the Krylov-Bo…