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arXiv:2004.12945 [math-ph]AbstractReferencesReviewsResources

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

Gastão A. Braga, Jussara M. Moreira, Camila F. Souza

Published 2020-04-27Version 1

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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