Higher order energy decay for damped wave equations with variable coefficients
نویسندگان
چکیده
منابع مشابه
Higher Order Energy Decay Rates for Damped Wave Equations with Variable Coefficients
Abstract. Under appropriate assumptions the energy of wave equations with damping and variable coefficients c(x)utt − div(b(x)∇u) + a(x)ut = h(x, t) has been shown to decay. Determining the decay rate for the higher order energies of the kth order spatial and time derivatives has been an open problem with the exception of some sparse results obtained for k = 1, 2. We establish the sharp gain in...
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Abstract. Under appropriate assumptions the energy of wave equations with damping and variable coefficients c(x)utt − div(b(x)∇u) + a(x)ut = h(x) has been shown to decay. Determining the rate of decay for the higher order energies involving the kth order spatial and time derivatives has been an open problem with the exception of some sparse results obtained for k = 1, 2, 3. We establish estimat...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.03.081