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Abstract

We consider the Cauchy problem in $R^{n}$ for some types of damped wave equations. We derive asymptotic profiles of solutions with weighted $L^{1, 1} (R^{n})$ initial data by employing a simple method introduced in [Math. Meth. Appl. Sci. 27 (2004), 865–889].

Keywords

wave equation frictional term viscoelastic term Gauss kernel asymptotic profiles Fourier analysis low frequency high frequency

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Asymptotic profile of solutions for wave equations with frictional and viscoelastic damping terms

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