Boundary Stabilization of a More General Kirchhoff-Type Beam Equation
نویسندگان
چکیده
منابع مشابه
Existence and Uniform Decay for a Nonlinear Beam Equation with Nonlinearity of Kirchhoff Type in Domains with Moving Boundary
We prove the exponential decay in the case n > 2, as time goes to infinity, of regular solutions for the nonlinear beam equation with memory and weak damping utt + ∆2u− M(‖∇u‖L2(Ωt))∆u + ∫ t 0 g(t − s)∆u(s)ds + αut = 0 in ∧ Q in a noncylindrical domain of Rn+1 (n ≥ 1) under suitable hypothesis on the scalar functions M and g, and where α is a positive constant. We establish existence and unique...
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ژورنال
عنوان ژورنال: International Journal of Modern Nonlinear Theory and Application
سال: 2012
ISSN: 2167-9479,2167-9487
DOI: 10.4236/ijmnta.2012.13014