论文标题
振荡积分的差异集的尺寸与凹面相
Dimension of divergence sets of oscillatory integrals with concave phase
论文作者
论文摘要
我们研究了集合的Hausdorff尺寸，当$ M \ in（0,1）$在一个空间尺寸中，解决方案与分数schrödinger方程$ e^{it（-Δ）^\ frac m2} f $失败。还考虑了沿着非区域曲线和一组线路的点收敛，我们发现当$ m \ in（1，\ infty）$中的情况不同。
We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schrödinger equation $e^{it(-Δ)^\frac m2}f$ fails when $m\in(0,1)$ in one spatial dimension. The pointwise convergence along a non-tangential curve and a set of lines are also considered, where we find different nature from the case when $m\in(1,\infty)$.
