On the parabolic ${\Phi }_3^4$ model for the harmonic oscillator: diagrams and local existence

Aurélien Deya, Reika Fukuizumi, Laurent Thomann

We prove the local wellposedness of the (renormalized) parabolic ${\Phi }_3^4$ model associated with the harmonic oscillator on ${\mathbb{R}}^3$, that is, the equation formally written as…