Dispersive estimates for time and space fractional Schrödinger equations | Zendy

Su Xiaoyan | Zendy; Zhao Shiliang | Zendy; Li Miao | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Dispersive estimates for time and space fractional Schrödinger equations

Author(s) -

Su Xiaoyan,

Zhao Shiliang,

Li Miao

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5550

Subject(s) - mathematics , initial value problem , fractional calculus , space (punctuation) , cauchy problem , schrödinger equation , cauchy distribution , mathematical analysis , mathematical physics , philosophy , linguistics

In this paper, we consider the Cauchy problem for the fractional Schrödinger equation i D t α u − ( − Δ )β 2u = 0 with 0 < α < 1, β > 0. We establish the dispersive estimates by a carefully study of the Mittag‐Leffler functions and give some applications as well. In particular, we prove that the decay rates are sharp.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research