We firstly prove Strichartz estimates for the fractional Schr\" odinger equations on $\mathbb
{R}^ d $ endowed with a smooth bounded metric $ g $. We then prove Strichartz estimates …

Strichartz estimates for harmonic potential with time-decaying coefficient — 岡山大学 メイン
ナビゲーションにスキップ 検索にスキップ メインコンテンツにスキップ 岡山大学 ホーム 岡山大学 …

We consider the uniform resolvent and orthonormal Strichartz estimates for the Schr\"
odinger operator. First we prove the Keel-Tao type theorem for the orthonormal Strichartz …

We discuss some time-degenerate Schrödinger equations on R× Rn and on R× T2. We give
weighted Strichartz estimates and local well-posedness results for the corresponding …

Strichartz estimates for a time-decaying harmonic oscillator were proven with some
assumptions of coefficients for the time-decaying harmonic potentials. The main results of …

In this paper we focus on the validity of some fundamental estimates for time-degenerate
Schr\"{o} dinger-type operators. On one hand we derive global homogeneous smoothing …

This paper is concerned with Schrödinger equations with variable coefficients and
unbounded electromagnetic potentials, where the kinetic energy part is a long-range …

In this paper we focus on the validity of some fundamental estimates for time-degenerate
Schrödinger-type operators. On the one hand we derive global homogeneous smoothing …

Smoothing (and decay) spacetime estimates are discussed for evolution groups of self-
adjoint operators in an abstract setting. The basic assumption is the existence (and weak …

In this paper we prove local-in-time Strichartz estimates with loss of derivatives for Schr\"
odinger equations with variable coefficients and potentials, under the conditions that the …