Strichartz estimates for non-degenerate Schrödinger equations

Abstract

We consider Schrödinger equation with a non-degenerate metric on the Euclidean space. We study local in time Strichartz estimates for the Schrödinger equation without loss of derivatives including the endpoint case. In contrast to the Riemannian metric case, we need the additional assumptions for the well-posedness of our Schrödinger equation and for proving Strichartz estimates without loss.

References in corpus (1)

• Periodic Cubic Hyperbolic Schrödinger equation on $\T^2$

Cited by in corpus (1)

• Essential self-adjointness of real principal type operators