Strichartz estimates to fractional Schrödinger equations

Jie Chen, Yiran Gong, Ying Zhang

In this paper, we firstly study Strichartz estimates $\Vert e^{it{D}^{\alpha }}{u}_0{\Vert }_{L_t^q(\mathbb{R};L_x^r({\mathbb{R}}^d))}\le C(d,\alpha ,q,r,s)\Vert u_0{\Vert }_{{\dot{H}}^s}.$ We show some counterexamples…