2017/08/11 by Gastão A. Braga, Braga, Gastão A., Jussara M. Moreira +3
Mathematics · #Advanced Mathematical Physics Problems #Differential Equations and Numerical Methods #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis
paper · pdf · doi:10.48550/arxiv.1708.03618
openalex publication_date 2017/08/11 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28
In this paper we employ the Renormalization Group (RG) method to study the\nlong-time asymptotics of a class of nonlinear integral equations with a\ngeneralized heat kernel and with time-dependent coefficients. The\nnonlinearities are classified and studied according to its role in the\nasymptotic behavior. Here we prove that adding nonlinear perturbations\nclassified as irrelevant, the behavior of the solution in the limit t\n\→\∞ remains unchanged from the linear case. In a companion paper, we\nwill include a type of nonlinearities called marginal and we will show that, in\nthis case, the large time limit gains an extra logarithmic decay factor.\n