Global existence and blow-up of solutions for logarithmic Klein-Gordon equation

Global existence and blow-up of solutions for logarithmic Klein-Gordon equation

This arcitle concerns the initial-boundary value problem for a class of Klein-Gordon equation with logarithmic nonlinearity. By using Galerkin method and compactness criterion, we prove the existence of global solutions to this problem. Meanwhile, the blow-up of solutions in the unstable set is also...

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Bibliographic Details
Main Authors: Yaojun Ye, Lanlan Li
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:AIMS Mathematics
Subjects:
klein-gordon equation
logarithmic nonlinearity
initial-boundary value problem
global solutions
blow-up
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021404?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021404?viewType=HTML

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