On the blow up phenomenon for the $L^2$-critical focusing Hartree equation in $Bbb R^4$ - Mathematics > Analysis of PDEsReportar como inadecuado




On the blow up phenomenon for the $L^2$-critical focusing Hartree equation in $Bbb R^4$ - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We characterize the dynamics of the finite time blow up solutions withminimal mass for the focusing mass critical Hartree equation with$H^1\mathbb{R}^4$ data and $L^2\mathbb{R}^4$ data, where we make use of therefined Gagliardo-Nirenberg inequality of convolution type and the profiledecomposition. Moreover, we also analyze the mass concentration phenomenon ofsuch blow up solutions.



Autor: Changxing Miao, Guixiang Xu, Lifeng Zhao

Fuente: https://arxiv.org/







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