On blow up for a class of radial Hartree type equations
Shumao Wang
TL;DR
This paper investigates a class of radial Hartree equations and establishes a quantitative rate at which solutions blow up, extending known results from 3D NLS to Hartree-type equations.
Contribution
It provides a new quantitative blow-up rate for radial Hartree equations, analogous to prior results for 3D nonlinear Schrödinger equations.
Findings
Established a blow-up rate for solutions
Extended blow-up analysis to Hartree equations
Provided quantitative estimates for blow-up behavior
Abstract
We study a class of Hartree type equations and prove a quantitative blow up rate for their blow up solutions. This is an analogue of the result by Merle and Rapha\"el on 3d NLS.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics · Nonlinear Partial Differential Equations