On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces

Elena Cordero

In this note we consider the nonlinear heat equation associated to the fractional Hermite operator $H^{\beta }=(-\Delta +|x{|}^2{)}^{\beta }$, $0<\beta \le 1$. We show the local solvability of the related Cau…