Séminaire d'analyse

# Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients

## by Dr Tanaka Tomoyuki

Europe/Paris
E1180 (Tours)

### E1180

#### Tours

Description
We consider the Cauchy problem of a class of higher order Schrödinger type equations with constant coefficients. By employing the energy inequality, we show the L^2 well-posedness, the parabolic smoothing, the twisted parabolic smoothing and a breakdown of the persistence of regularity. We classify this class of equations into three types on the basis of their smoothing property. This talk is based on the preprint titled the same as above (arXiv:2009.01049) by the speaker and Kotaro Tsugawa (Chuo university).