@Article{JPDE-36-1,
author = {Tao, Lü and Zhao, Yajuan and Yongsheng, Li},
title = {Well-Posedness and Blow-Up for the Fractional Schrödinger-Choquard Equation},
journal = {Journal of Partial Differential Equations},
year = {2023},
volume = {36},
number = {1},
pages = {82--101},
abstract = {<p style="text-align: justify;">In this paper, we study the well-posedness and blow-up solutions for the fractional Schrödinger equation with a Hartree-type nonlinearity together with a power-type subcritical or critical perturbations. For nonradial initial data or radial initial data, we prove the local well-posedness for the defocusing and the focusing cases with subcritical or critical nonlinearity. We obtain the global well-posedness for the defocusing case, and for the focusing mass-subcritical case or mass-critical case with initial data small enough. We also investigate blow-up solutions for the focusing mass-critical problem.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n1.6},
url = {https://global-sci.com/article/88079/well-posedness-and-blow-up-for-the-fractional-schrodinger-choquard-equation}
}