A general decay result of a wave equation with a dynamic boundary control of diffusive type

Abstract

We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results in the literature.

Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary

“…Remark 5.4. We can extend the results of this paper to more general measure density (see [10]) instead of (5). Indeed, let us suppose that ν is an even nonnegative measurable function such that…”