논문KCI 등재
STABILIZATION FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH A NONLINEAR SOURCE
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초록
In this paper, we study the viscoelastic Kirchho type equa-tion with a nonlinear source u''-M(x, t, ‖▽u(t)‖2)△u+∫t0h(t-τ)div[a(x)▽u(τ)]dτ+|u|γu=0. Under the smallness condition with respect to Kirchho coe cient and therelaxation function and other assumptions, we prove the uniform decayrate of the Kirchho type energy.
Abstract
In this paper, we study the viscoelastic Kirchho type equa-tion with a nonlinear source u''-M(x, t, ‖▽u(t)‖2)△u+∫t0h(t-τ)div[a(x)▽u(τ)]dτ+|u|γu=0. Under the smallness condition with respect to Kirchho coe cient and therelaxation function and other assumptions, we prove the uniform decayrate of the Kirchho type energy.
참고문헌 (13)
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관련 논문AI추천
ASYMPTIOTIC BEHAVIOR FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH AN INTERNAL TIME-VARYING DELAY TERM김대욱영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary김대욱영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호EXPONENTIAL STABILITY FOR THE GENERALIZED KIRCHHOFF TYPE EQUATION IN THE PRESENCE OF PAST AND FINITE HISTORY김대욱영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms강수진, 신기연영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호On solvability of the dissipative Kirchhoff equation with nonlinear boundary dampingJian-Hua Huang, Zai-Yun Zhang대한수학회 · 대한수학회보2014 · 제51권 제1호STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN박선혜대한수학회 · 대한수학회보2015 · 제52권 제3호
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