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
Mathematical Physics
2021-08-25 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2004.12945,
title = {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},
author = {Gastão A. Braga and Jussara M. Moreira and Camila F. Souza},
journal= {arXiv preprint arXiv:2004.12945},
year = {2021}
}
Comments
20 pages