Global existence of weak solutions to a class of higher-order nonlinear evolution equations

Global existence of weak solutions to a class of higher-order nonlinear evolution equations

This paper deals with the initial boundary value problem for a class of n-dimensional higher-order nonlinear evolution equations that come from the viscoelastic mechanics and have no positive definite energy. Through the analysis of functionals containing higher-order energy of motion, a modified po...

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Bibliographic Details
Main Authors: Li-ming Xiao, Cao Luo, Jie Liu
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Electronic Research Archive
Subjects:
potential well method
higher-order $ n $-dimensional nonlinear evolution equations
initial boundary value problem
global weak solution
galerkin method
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024248
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