Periodic damping gives polynomial energy decay

Jared Wunsch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let u solve the damped Klein.Gordon equation ( ∂Ý t-σ +∂Ý xj + mId+(x)∂t u = 0 on Rn with m > 0 and Á . 0 bounded below on a 2ÎZn-invariant open set by a positive constant. We show that the energy of a solution decays at a polynomial rate. This is proved via a periodic observability estimate on Rn.

Original languageEnglish (US)
Pages (from-to)571-580
Number of pages10
JournalMathematical Research Letters
Volume24
Issue number2
DOIs
StatePublished - 2017

ASJC Scopus subject areas

  • Mathematics(all)

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