Modified scattering for a wave equation with weak dissipation
نویسنده
چکیده
We consider the Cauchy problem for the weakly dissipative wave equation u+ μ 1 + t ut = 0 with parameter μ ≥ 2. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; 27:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory. AMS subject classification: 35L50, 35L15, 35B45
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