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Energy thresholds of blow‐up for the Hartree equation with a focusing subcritical perturbation
Studies in Applied Mathematics ( IF 2.7 ) Pub Date : 2021-01-04 , DOI: 10.1111/sapm.12362 Shuai Tian 1 , Ying Yang 1 , Rui Zhou 2 , Shihui Zhu 1
Studies in Applied Mathematics ( IF 2.7 ) Pub Date : 2021-01-04 , DOI: 10.1111/sapm.12362 Shuai Tian 1 , Ying Yang 1 , Rui Zhou 2 , Shihui Zhu 1
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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.
中文翻译:
具有聚焦亚临界扰动的Hartree方程爆炸的能量阈值
本文研究了具有Hartree型非线性和幂型亚临界扰动的Schrödinger方程的爆破解。通过分析相关功能的潜在井结构,可以获得爆炸和整体存在的精确尖锐的能量阈值。
更新日期:2021-02-23
中文翻译:
具有聚焦亚临界扰动的Hartree方程爆炸的能量阈值
本文研究了具有Hartree型非线性和幂型亚临界扰动的Schrödinger方程的爆破解。通过分析相关功能的潜在井结构,可以获得爆炸和整体存在的精确尖锐的能量阈值。