The regularity properties and blow-up of the solutions for nonlocal Schrödinger equations

Shakhmurov V. B., Shahmurov R.

REVIEWS IN MATHEMATICAL PHYSICS, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1142/s0129055x24500302
  • Journal Name: REVIEWS IN MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, the Cauchy problem for convolution-type nonlocal linear and nonlinear Schr & ouml;dinger equations (NSEs) is studied. The equations include the general differential operators. The existence, uniqueness, L-p-regularity properties of linear problem and the existence, uniqueness, and blow-up at finite time of the nonlinear problem are obtained. By choosing differential operators including in equations, the regularity properties of a different type of nonlocal Schr & ouml;dinger equation are studied.