Title of article
Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order Original Research Article
Author/Authors
Xiangying Chen، نويسنده , , Guowang Chen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
13
From page
892
To page
904
Abstract
In this paper, the asymptotic behavior of the solution to the initial–boundary value problem for a nonlinear evolution equation of fourth order
equation(1)
utt−a1uxx−a2uxxt−a3uxxtt=φ(ux)xutt−a1uxx−a2uxxt−a3uxxtt=φ(ux)x
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is studied. The sufficient conditions for blow-up of the solutions to the initial–boundary value problems for Eq. (1) are given.
Keywords
Initial–boundary value problem , Asymptotic behavior of solution , Nonlinear wave equation of fourth order , Blow-up of solution
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860068
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