Strichartz estimates for quadratic repulsive potentials
Strichartz estimates for quadratic repulsive potentials
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Strichartz 估计二次排斥势
DOI：
10.1007/s42985-022-00150-x
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yoneyama Taisuke
中科院分区：
文献类型：
--
作者：
Kawamoto Masaki;Yoneyama Taisuke
二次斥力加速量子粒子，使粒子的速度呈指数级增加；这种现象产生了快速衰减的色散估计。在本研究中，我们考虑与此现象相关的Strichartz估计。首先，我们考虑了自由排斥哈密顿量，并证明了strstrichartz估计对每一个允许对（q,r）都成立，且满足q，。其次，我们考虑具有缓慢衰减势的微扰排斥性哈密顿量，并证明了对于排斥性-可容许对，在相同的容许对下Strichartz估计成立。
Quadratic repulsive potentialsaccelerate the quantum particle, increasing the velocity of the particle exponentially int; this phenomenon yields fast decaying dispersive estimates. In this study, we consider the Strichartz estimates associated with this phenomenon. First, we consider the free repulsive Hamiltonian, and prove that the Strichartz estimates hold for every admissible pair (q,r), which satisfieswithq,. Second, we consider the perturbed repulsive Hamiltonian with a slowly decaying potential, such thatfor some, and prove that the Strichartz estimate holds with the same admissible pairs for repulsive-admissible pairs.