Wave equations with mass and dissipation
Wanderley Nunes do Nascimento, Jens Wirth
TL;DR
This paper analyzes a wave model incorporating mass and dissipation, providing detailed asymptotic descriptions of solutions, sharp energy estimates, and dispersive behavior insights.
Contribution
It introduces new asymptotic analysis methods for wave equations with mass and dissipation, offering precise energy and dispersive estimates.
Findings
Sharp energy decay estimates established.
Asymptotic descriptions of solutions derived.
Dispersive estimates characterized.
Abstract
In this paper we consider a wave model with non-effective mass and dissipation terms and provide asymptotic descriptions of its representation of solutions. In particular we conclude sharp estimates for a corresponding energy and estimates of dispersive type.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems