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Blow-up Energy Thresholds for the Hartree Equation with a Focusing Subcritical Perturbation
朱世辉 教授(电子科技大学)
2021年5月7日10:30-12:00  腾讯会议ID:580 657 204

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This paper assesses the blow-up solutions for the Schr\"{o}dinger 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 potentially valid structures for associated functionals. This work joint with Tian Shuai, Yang Ying, Zhou Rui.



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???????????????????????????????????????????????????????????????蟊????????????????????????????3???????????????????????????????????????????????????????????????Schrodinger??????????????????????????????J. Differential Equations??????J. Mathematical Physics??????J. Dynamics and Differential Equations??????Dynamics of PDE??????Nonlinear Differential Equations and Applications?????????????????????专?????????????表????20???, ???????????专????????SCI????180?????包??????????? G. Fibich??专?????The Nonlinear Schrodinger Equation: Singular Solutions and Optical Collapse????Springer, 2015????, 2??????????ESI???????