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Yang Cao
Yang Cao

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Initial boundary value problem of pseudo-parabolic Kirchhoff equations with logarithm...
Yang Cao
Qiuting Zhao

Yang Cao

and 1 more

September 20, 2022
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 ( u 0 ) > 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.

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