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In this paper, we proceed with the analysis started in\cite{bib:braga-mor-souza} and, using the Renormalization Group method, weobtain logarithmic corrections to the decay of solutions for a class ofnonlinear integral equations whenever the nonlinearities are classified asmarginal in the Renormalization Group sense.

journal of mathematical physics

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