Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations

Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time blow up result of the solution. And for critical initial energy we prese...

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Bibliographic Details
Main Authors: Yang Yanbing, Md Salik Ahmed, Qin Lanlan, Xu Runzhang
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2019-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol39/2/art/opuscula_math_3919.pdf