MULTIPOINT PROBLEM FOR SCHRÖDINGER TYPE EQUATIONS WITH GENERAL ELLIPTIC PART

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Shahmurov R., Shakhmurov V.

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol.31, no.1, pp.59-74, 2024 (Scopus)

• Publication Type: Article / Article
• Volume: 31 Issue: 1
• Publication Date: 2024
• Journal Name: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
• Journal Indexes: Scopus, zbMATH
• Page Numbers: pp.59-74
• Keywords: elliptic operators, local solutions, regularity properties of PDE, Schrődinger equations, Strichartz type inequalities
• Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

The existence, uniqueness, regularity properties and Strichartz type estimates for the solution of multipoint problem for linear and nonlinear Schrödinger equations with general elliptic leading part are obtained.