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Initial boundary value problem of pseudo-parabolic Kirchhoff equations with logarithmic nonlinearity
  • Yang Cao,
  • Qiuting Zhao
Yang Cao
Dalian University of Technology School of Mathematical Sciences

Corresponding Author:mathcy@dlut.edu.cn

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Qiuting Zhao
Dalian University of Technology School of Mathematical Sciences
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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.
20 Sep 2022Submitted to Mathematical Methods in the Applied Sciences
20 Sep 2022Assigned to Editor
20 Sep 2022Submission Checks Completed
21 Oct 2022Review(s) Completed, Editorial Evaluation Pending
22 Dec 2022Reviewer(s) Assigned
27 Mar 2023Editorial Decision: Revise Major