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arXiv · 1501.05399

On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications

Chu-Hee Cho·Youngwoo Koh·Ihyeok Seo
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Abstract

In this paper we obtain some new inhomogeneous Strichartz estimates for the fractional Schrödinger equation in the radial case. Then we apply them to the well-posedness theory for the equation $i\partial_{t}u+|\nabla|^αu=V(x,t)u$, $1<α<2$, with radial $\dot{H}^γ$ initial data below $L^2$ and radial potentials $V\in L_t^rL_x^w$ under the scaling-critical range $α/r+n/w=α$.

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Chu-Hee Cho, Youngwoo Koh, Ihyeok Seo. 2015-07-08. On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications. https://arxiv.org/abs/1501.05399

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