Initial boundary value problem of pseudo-parabolic Kirchhoff equations with logarithmic nonlinearity

被引:0
作者
Zhao, Qiuting [1 ]
Cao, Yang [1 ]
机构
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
关键词
blow-up; global existence; logarithmic nonlinearity; pseudo-parabolic Kirchhoff equation; BLOW-UP; GLOBAL EXISTENCE; P-LAPLACIAN; EVOLUTION-EQUATIONS; TIME; INSTABILITY; NONEXISTENCE; BEHAVIOR; SOLITONS;
D O I
10.1002/mma.9684
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the initial boundary value problem for a pseudo-parabolic Kirchhoff equation with logarithmic nonlinearity. Using the potential well method, we obtain a threshold result of global existence and finite-time blow-up for the weak solutions with initial energy J (u(0)) <= d . When the initial energy J (u0) > d , we find another criterion for the vanishing solution and blow-up solution. We also establish the decay rate of the global solution and estimate the life span of the blow-up solution. Meanwhile, we study the existence of the ground state solution to the corresponding stationary problem.
引用
收藏
页码:799 / 816
页数:18
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