Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms
نویسندگان
چکیده
We consider the global existence of strong solution u, corresponding to a class of fully nonlinear wave equations with strongly damped terms utt −kΔut f x,Δu g x, u,Du,D2u in a bounded and smooth domain Ω in R, where f x,Δu is a given monotone in Δu nonlinearity satisfying some dissipativity and growth restrictions and g x, u,Du,D2u is in a sense subordinated to f x,Δu . By using spatial sequence techniques, the Galerkin approximation method, and some monotonicity arguments, we obtained the global existence of a solution u ∈ Lloc 0,∞ ,W2,p Ω ∩ W 1,p 0 Ω .
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012