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

## TL;DR

This paper analyzes the long-term behavior of solutions to certain damped wave equations with strong structural damping, providing new asymptotic profiles and regularity loss estimates using a novel method.

## Contribution

It introduces a simple method to derive asymptotic profiles for damped wave equations with weighted initial data, including new regularity loss estimates.

## Key findings

- Derived asymptotic profiles for solutions
- Established regularity loss type estimates
- Applied a novel method for analysis

## 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.