논문KCI 등재
EXPONENTIAL GROWTH OF SOLUTIONS FOR A QUASILINEAR VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC NONLINEARITY
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In this paper, we proved the exponential growth of solutions for a quasilinear viscoelastic wave equation with logarithmic nonlinearity. Under suitable conditions $u_0 \in V$, $u_1 \in L^{2}(\Omega) \cap L^{\rho+1}(\Omega)$, and initial energy (i) $0 < E(0) < \frac{k}{4}\gamma < d$ and (ii) $E(0) <0$, we establish the asymptotic behavior for a class of energy.
Abstract
In this paper, we proved the exponential growth of solutions for a quasilinear viscoelastic wave equation with logarithmic nonlinearity. Under suitable conditions $u_0 \in V$, $u_1 \in L^{2}(\Omega) \cap L^{\rho+1}(\Omega)$, and initial energy (i) $0 < E(0) < \frac{k}{4}\gamma < d$ and (ii) $E(0) <0$, we establish the asymptotic behavior for a class of energy.
관련 논문AI추천
ENERGY DECAY AND EXPONENTIAL GROWTH OF SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC SOURCE TERM강용한영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호Existence and general decay for a viscoelastic equation with logarithmic nonlinearity박선혜, 하태갑대한수학회 · 대한수학회지2021 · 제58권 제6호GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION강수진, 신기연영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호Global existence and asymptotic behavior of a plate equation with a constant delay term and logarithmic nonlinearitiesMelouka Remil대한수학회 · 대한수학회논문집2020 · 제35권 제1호Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearityCarlos Raposo, Erhan Piskin, Jorge Ferreira, Mohammad Shahrouzi, Nazli Irkil대한수학회 · 대한수학회보2022 · 제59권 제6호General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms강수진, 신기연영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호
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