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

Autor: Braga, Gastão A., Moreira, Jussara M., Souza, Camila F.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/5.0043505
Popis: 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.
Comment: 20 pages
Databáze: arXiv