논문KCI 등재
GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION
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참고문헌
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주제분류수학
초록
In a bounded domain, we consider utt-△u+∫t0g(t-τ)△udτ+ut=|u|pu, where p >0 and g is a nonnegative and decaying function. We establisha general decay result which is not necessarily of exponential or polynomial type.
Abstract
In a bounded domain, we consider utt-△u+∫t0g(t-τ)△udτ+ut=|u|pu, where p >0 and g is a nonnegative and decaying function. We establisha general decay result which is not necessarily of exponential or polynomial type.
참고문헌 (8)
- S. Berrimi, "Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping", Electron. J. Differential Equations, 88, pp.1~10 (2004)
- S. Berrimi, "Existence and decay of solutions of a viscoelastic equation with a nonlinear source", Nonl. Anal., 64, pp.2314~2331 (2006)
- M.M. Cavalcanti, "Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping", Electron. J. Differential Equations, 44, pp.1~14 (2002)
- M.M. Cavalcanti, "Frictional versus viscoelastic damping in a semi-linear wave equation", SIAM J. Control Optim., 42(4), pp.1310~1324 (2003)
- W.J. Liu, "General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms", J. Math. Phys., 50(11), pp.113506~ (2009)
- W.J. Liu, "it On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms", Nonl. Anal., 74(6), pp.2175~2190 (2011)
- S.A. Messaoudi, "General decay of the solution energy in a viscoelastic equation with a nonlinear source", Nonl. Anal., 69, pp.2589~2598 (2008)
- S.T. Wu, "General decay and blow-up of solutions for a viscoelastic equation with a non-linear boundary damping-source interactions", Z. Angew. Math. Phys., 63(1), pp.65~106 (2012)
관련 논문AI추천
General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms강수진, 신기연영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호ENERGY DECAY AND EXPONENTIAL GROWTH OF SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC SOURCE TERM강용한영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN박선혜대한수학회 · 대한수학회보2015 · 제52권 제3호General decay for a semilinear wave equation with boundary frictional and memory conditions박선혜대한수학회 · 대한수학회보2014 · 제51권 제3호STABILIZATION FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH A NONLINEAR SOURCE김대욱영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호EXPONENTIAL GROWTH OF SOLUTIONS FOR A QUASILINEAR VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC NONLINEARITY강용한, 황근보영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호
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