본문 바로가기
KERD
논문KCI 등재

Global existence and asymptotic behavior of a plate equation with a constant delay term and logarithmic nonlinearities

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we investigate the viscoelastic plate equation with a constant delay term and logarithmic nonlinearities. Under some conditions, we will prove the global existence. Furthermore, we use weighted spaces to establish a general decay rate of solution.

Abstract

In this paper, we investigate the viscoelastic plate equation with a constant delay term and logarithmic nonlinearities. Under some conditions, we will prove the global existence. Furthermore, we use weighted spaces to establish a general decay rate of solution.

참고문헌 (16)

  1. D. Andrade, "Exponential stability for a plate equation with p-Laplacian and memory terms", Math. Methods Appl. Sci., 35(4), pp.417~426 (2012)[DOI]
  2. A. Benaissa, "Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback", Electron. J. Qual. Theory Differ. Equ., 2014(11), pp.13~ (2014)[DOI]
  3. K. Bouhali, "Viscoelastic wave equation with logarithmic nonlinearities in Rn", J. Partial Differ. Equ, 30(1), pp.47~63 (2017)[DOI]
  4. T. Cazenave, "Equations d'evolution avec non linearite logarithmique", Ann. Fac. Sci. Toulouse Math. (5), 2(1), pp.21~51 (1980)
  5. H. Chen, "Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity", J. Math. Anal. Appl., 422(1), pp.84~98 (2015)[DOI]
  6. Xiaosen Han, "Global existence of weak solutions for a logarithmic wave equation arising from Q-ball dynamics", 대한수학회보, 50(1), pp.275~283 (2013), 대한수학회
  7. M. A. Jorge Silva, "On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type", IMA J. Appl. Math., 78(6), pp.1130~1146 (2013)[DOI]
  8. M. Kafini, "Uniform decay of solutions to Cauchy viscoelastic problems with density", Electron. J. Differential Equations, 2011(93), pp.9~ (2011)
  9. M. Kafini, "Decay rate of solutions for a Cauchy vis-coelastic evolution equation", Indag. Math. (N.S.), 22(1-2), pp.103~115 (2011)[DOI]
  10. G. Liu, "Global existence and finite time blow up for a class of semilinear wave equations on RN", Comput. Math. Appl, 70(6), pp.1345~1356 (2015)[DOI]
  11. P. Martinez, "A new method to obtain decay rate estimates for dissipative systems", ESAIM Control Optim. Calc. Var., 4, pp.419~444 (1999)[DOI]
  12. J. E. Mu~noz Rivera, "Global solution on a quasilinear wave equation with memory", Boll. Un. Mat. Ital. B (7), 8(2), pp.289~303 (1994)
  13. S. Nicaise, "Exponential stability of the wave equation with boundary time-varying delay", Discrete Contin. Dyn. Syst. Ser. S, 4(3), pp.693~722 (2011)[DOI]
  14. S. Nicaise, "Stability of the heat and of the wave equations with boundary time-varying delays", Discrete Contin. Dyn. Syst. Ser. S, 2(3), pp.559~581 (2009)[DOI]
  15. L. Yacheng, "On potential wells and applications to semilinear hyperbolic equations and parabolic equations", Nonlinear Anal, 64(12), pp.2665~2687 (2006)[DOI]
  16. H. Zhang, "Exponential decay of energy for a logarithmic wave equation", J. Partial Differ. Equ., 28(3), pp.269~277 (2015)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (23건)