Energy decay rate for the wave equation with variable coefficients and boundary source term. Issue 11 (18th August 2021)

• Record Type: Journal Article
• Authors: Ha, Tae Gab
• Is Part Of: Applicable analysis. Volume 100:Issue 11(2021)
• Page Start: 2301
• Page End: 2314
• Publication Date: 2021-08-18
• Subjects: R. Magnanini; Energy decay rate -- variable coefficients -- nonlinear source term -- Riemannian geometry; 35L05 -- 35L20 -- 35B35 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1680828
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we consider the wave equation with variable coefficients and boundary source term. This work is devoted to prove the uniform energy decay rates of the wave equation with variable coefficients applying the Riemannian geometry method and modified multiplier method. This result gives us to classify the energy decay rate depending the growth near zero on the damping term.