Application of the theory of extensions to the spectral analysis of some self-adjoint operators

• Grant number: 16/02060-9
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2016
• End date: June 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Nataliia Goloshchapova
• Grantee: Nataliia Goloshchapova
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The main goal of this project is to use the theory of extensions of symmetric operators to investigate the properties and principal objects of some totally different models. The importance of this problem is due to applications of the theory of extensions to the problems that appear in many physical areas and specific physical models. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PAVA, JAIME ANGULO; GOLOSHCHAPOVA, NATALIIA. Stability of standing waves for NLS-log equation with delta-interaction. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 24, n. 3, JUN 2017. (16/02060-9, 12/50503-6)

PAVA, JAIME ANGULO; GOLOSHCHAPOVA, NATALIIA. ON THE ORBITAL INSTABILITY OF EXCITED STATES FOR THE NLS EQUATION WITH THE delta-INTERACTION ON A STAR GRAPH. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 38, n. 10, p. 5039-5066, OCT 2018. (16/02060-9)

GOLOSHCHAPOVA, NATALIIA. On the standing waves of the NLS-log equation with a point interaction on a star graph. Journal of Mathematical Analysis and Applications, v. 473, n. 1, p. 53-70, MAY 1 2019. (16/02060-9)

PAVA, JAIME ANGULO; GOLOSHCHAPOVA, NATALIIA. EXTENSION THEORY APPROACH IN THE STABILITY OF THE STANDING WAVES FOR THE NLS EQUATION WITH POINT INTERACTIONS ON A STAR GRAPH. Advances in Differential Equations, v. 23, n. 11-12, p. 793-846, NOV-DEC 2018. (16/02060-9, 12/50503-6, 16/07311-0)

PAVA, JAIME ANGULO; GOLOSHCHAPOVA, NATALIIA. Stability propertiesproperties of standing waves for NLS equations with the delta'-interaction. PHYSICA D-NONLINEAR PHENOMENA, v. 403, FEB 2020. (16/02060-9, 16/07311-0)