On Some Fractional Magnetic Problems

Zongo, Frédéric D. Y.; Korbeogo, Salifou; Ouédraogo, Arouna

doi:10.28919/cpr-pajm/2-17

Research article

On Some Fractional Magnetic Problems

Frédéric D. Y. Zongo, Salifou Korbeogo, Arouna Ouédraogo

Abstract

In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation with magnetic field. Moreover, we show the doubling property main argument to unique continuation property via Carleman estimates.

How to cite

F. D. Y. Zongo, S. Korbeogo, A. Ouédraogo, On Some Fractional Magnetic Problems, Pan-Amer. J. Math. 2 (2023), 17. https://doi.org/10.28919/cpr-pajm/2-17

BibTeX

@article{Zongo2023,
  author  = {Zongo, Frédéric D. Y. and Korbeogo, Salifou and Ouédraogo, Arouna},
  title   = {On Some Fractional Magnetic Problems},
  journal = {Pan-Amer. J. Math.},
  volume  = {2},
  year    = {2023},
  pages   = {17},
  doi     = {10.28919/cpr-pajm/2-17}
}