Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping

We investigate the initial value problem for a class of nonlinear wave equations of sixth order with damping. The decay structure of this equation is of the regularity‐loss type, which causes difficulty in high‐frequency region. By using the Fourier splitting frequency technique and energy method in...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2017-04, Vol.40 (6), p.1922-1936
Hauptverfasser:	Wang, Yu‐Zhu, Wang, Yinxia
Format:	Artikel
Sprache:	eng
Schlagworte:	asymptotic profile Damping Decay decay estimate Estimates Fourier analysis global solutions Mathematical analysis nonlinear wave equation of sixth order Nonlinearity Optimization Wave equations
Online-Zugang:	Volltext
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