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Blow-up and energy decay for a class of wave equations with nonlocal Kirchhoff-type diffusion and weak damping
  • Menglan Liao,
  • Zhong Tan
Menglan Liao
Xiamen University

Corresponding Author:[email protected]

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Zhong Tan
Xiamen University
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The purpose of this paper is to study the following equation driven by a nonlocal integro-differential operator $\mathcal{L}_K$: \[u_{tt}+[u]_s^{2(\theta-1)}\mathcal{L}_Ku+a|u_t|^{m-1}u_t=b|u|^{p-1}u\] with homogeneous Dirichlet boundary condition and initial data, where $[u]^2_s$ is the Gagliardo seminorm, $a\geq 0,~b>0,~0
24 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
25 Sep 2021Submission Checks Completed
25 Sep 2021Assigned to Editor
16 Dec 2021Reviewer(s) Assigned
31 May 2022Review(s) Completed, Editorial Evaluation Pending
26 Jun 2022Editorial Decision: Revise Minor
08 Jul 20221st Revision Received
09 Jul 2022Submission Checks Completed
09 Jul 2022Assigned to Editor
27 Sep 2022Reviewer(s) Assigned
03 Nov 2022Review(s) Completed, Editorial Evaluation Pending
01 Sep 2023Editorial Decision: Accept