On centre subspace behaviour in thin flm equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

It is shown that the fourth-order parabolic thin film equation with critical absorption admits the large time behaviour, where special logarithmic perturbations enter the standard source-type asymptotics. Such asymptpotic phenomena on existence of logarithmic factors are known for semilinear heat equation with absorption since the 1980s.
27 pages, 4 figures

Keywords

Analysis of PDEs, 35K55, 35K40, 35K65

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/217471

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3995
 http://arxiv.org/abs/0901.3995

Collections

arXiv