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
arXiv:2004.12945 · doi:10.1063/5.0043505
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.
arXiv comment20 pages
References in corpus (4)
- Numerical Renormalization Group Calculations For Similarity Solutions and Travelling Waves
- Renormalizing Partial Differential Equations
- Asymptotics for a nonlinear integral equation with a generalized heat kernel
- Asymptotics for Nonlinear Integral Equations with Generalized Heat Kernel and Time Dependent Coefficients Using Renormalization Group Technique