Asymptotic profile of solutions for some wave equations with very strong structural damping

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 by the first author. The obtained results will include regularity loss type estimates, which are essentially new in this kind of equations.

20 pages

References in corpus (2)

• Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
• Asymptotic profiles of solutions for structural damped wave equations

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• Remarks on decay effects of regularity loss type wave equations with structural damping terms
• Global existence results for semi-linear structurally damped wave equations with nonlinear convection
• Thresholds for low regularity solutions to wave equations with structural damping