Classification of Blow-up and Global Existence of Solutions to a System of Petrovsky Equations
https://doi.org/10.61383/ejam.20231231
Keywords:
Global existence, Decay rate, Blow-up in finite time, Petrovsky systemsAbstract
In this paper, we investigate global existence, uniform decay, and blow-up of solutions for a class of system of Petrovsky equations containing nonlinear damping and sources. By introducing a family of potential wells, we not only obtain the invariant sets and vacuum isolating of solutions but also give some threshold results of global existence and nonexistence of solutions. Furthermore, by using energy techniques, we also establish certain qualitative estimates for solution.
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Copyright (c) 2023 Truong Thi Nhan (Corresponding Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023 Sep 11
Published 2023 Sep 12
