Title: | Exponential growth with Lp-norm of solutions for nonlinear heat quations with viscoelastic term |
Author(s): | Le Xuan Truong |
Keywords: | Exponential growth; Viscoelastic; Relaxation function |
Abstract: | In this work, we study an initial boundary value problem related to the nonlinear viscoelastic quation (1+a|u|q−2)ut−Δu+∫0tg(t−s)Δu(s)ds=b|u|p−2u. We show the exponential growth of solutions with Lp-norm for negative or positive initial energy. |
Issue Date: | 2016 |
Publisher: | Elsevier |
Series/Report no.: | Vol. 273 |
URI: | http://digital.lib.ueh.edu.vn/handle/UEH/56229 |
DOI: | https://doi.org/10.1016/j.amc.2015.10.017 |
ISSN: | 0096-3003 |
Appears in Collections: | INTERNATIONAL PUBLICATIONS
|