A Renormalization Group Approach to Higher Order Corrections to the Decay of Solutions to Nonlinear Integral Equations

Gastão A. Braga; Jussara M. Moreira; Antônio Marcos da Silva; Camila F. Souza

paper

A Renormalization Group Approach to Higher Order Corrections to the Decay of Solutions to Nonlinear Integral Equations

arXiv:2412.16338

Abstract

In this paper we employ the Renormalization Group (RG) method to study higher order corrections to the long-time asymptotics of a class of nonlinear integral equations with a generalized heat kernel and with time-dependent coefficients. This is a follow up of the papers \cite{bib:souz-brag-more-art,bib:souz-brag-more-marginal,bib:brag-more-silv}.