Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results
type: Item
instance of: scholarly article
title: Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results
zbMATH Open document ID: 1049.35098
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2004-05-27T00:00:00Z
review text: In the work the equation \(u_t = \frac12 u_{xx} + \varepsilon x^m u^n u^p_x\) is considered. The authors use renormalization group methods, in particular, to examine terms \(O(\varepsilon^2)\) and higher. For some cases these results are verified by rigorous calculations.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 82B28
zbMATH DE Number: 2069687
zbMATH Keywords: renormalization group
zbMATH Keywords: decay of solutions
zbMATH Keywords: asymptotic self-similarity
author: Hüseyin Merdan
author: Gunduz Caginalp
MaRDI profile type: Publication
full work available at URL: dcdsb.2003.3.565
OpenAlex ID: W2081894372
DOI: 10.3934/DCDSB.2003.3.565
description: scientific article; zbMATH DE number 2069687