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Energy thresholds of blow‐up for the Hartree equation with a focusing subcritical perturbation
Author(s) -
Tian Shuai,
Yang Ying,
Zhou Rui,
Zhu Shihui
Publication year - 2021
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12362
Subject(s) - perturbation (astronomy) , hartree , nonlinear system , physics , energy method , mathematical analysis , classical mechanics , quantum electrodynamics , mathematics , quantum mechanics
This paper studies the blow‐up solutions for the Schrödinger equation with a Hartree‐type nonlinearity together with a power‐type subcritical perturbation. The precisely sharp energy thresholds for blow‐up and global existence are obtained by analyzing potential well structures for associated functionals.