Remark on global attractor for damped wave equation on R 3 $\mathbb{R}^{3}$
نویسندگان
چکیده
منابع مشابه
Strong Global Attractor for a Quasilinear Nonlocal Wave Equation on R
We study the long time behavior of solutions to the nonlocal quasilinear dissipative wave equation utt − φ(x)‖∇u(t)‖∆u+ δut + |u|u = 0, in RN , t ≥ 0, with initial conditions u(x, 0) = u0(x) and ut(x, 0) = u1(x). We consider the case N ≥ 3, δ > 0, and (φ(x))−1 a positive function in LN/2(RN ) ∩ L∞(RN ). The existence of a global attractor is proved in the strong topology of the space D1,2(RN )×...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2015
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0717-y