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Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-10-15 , DOI: 10.1080/00036811.2020.1834085
L. Chergui 1
Affiliation  

ABSTRACT

In the subcritical energy case, local well-posedness is established in the radial energy space for a class of fractional inhomogeneous Choquard equations. The best constant of a Gagliardo–Nirenberg type inequality is obtained. Moreover, a sharp threshold of global existence versus blow-up dichotomy is obtained for mass super-critical and energy subcritical solutions.



中文翻译:

部分非齐次Choquard方程的适定性和Virial型爆破

摘要

在亚临界能量情况下,在径向能量空间中建立了一类分数阶非齐次 Choquard 方程的局部适定性。得到了 Gagliardo-Nirenberg 型不等式的最佳常数。此外,对于质量超临界和能量亚临界解决方案,获得了全局存在与爆炸二分法的尖锐阈值。

更新日期:2020-10-15
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