用重整化群技术求解具有广义热核的非线性积分方程的渐近性II:解的边缘扰动和时间衰减的对数修正
Asymptotics for Nonlinear Integral Equations with a Generalized Heat Kernel using Renormalization Group Technique II: Marginal Perturbations and Logarithmic Corrections to the Time Decay of Solutions
摘要:
本文从\cite{bib:braga-mor-souza}开始分析,利用重整化群方法,得到了一类非线性积分方程解的衰减的对数修正,当非线性项在重整化群意义下被归为边际非线性项时.
英文摘要:
In this paper, we proceed with the analysis started in \cite{bib:braga-mor-souza} and, using the Renormalization Group method, we obtain logarithmic corrections to the decay of solutions for a class of nonlinear integral equations whenever the nonlinearities are classified as marginal in the Renormalization Group sense.
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