Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (6): 1279-1286.
Previous Articles Next Articles
WU Yuyu, GAO Yunzhu
Received:
Online:
Published:
Abstract: We considered a class of Kirchhoff type viscoelastic wave equation with logarithmic nonlinear term of variable exponents. Firstly, the energy identity for the problem was given. Secondly, by constructing auxiliary functions and using Holder inequality and Gagliardo-Nirenberg inequality, we obtained the result of blow up of equation solutions in finite time in the case where the logarithmic nonlinear term contained variable exponents.
Key words: Kirchhoff type equation, viscoelastic wave equation, logarithmic nonlinearity, variable exponent, blow up
CLC Number:
WU Yuyu, GAO Yunzhu. Property of Blow up of Solutions for Kirchhoff Type Viscoelastic Wave Equations with Logarithmic Nonlinear Term[J].Journal of Jilin University Science Edition, 2023, 61(6): 1279-1286.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2023/V61/I6/1279
Cited