논문KCI 등재
General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
A viscoelastic wave equation in canonical form weakly non- linear time dependent dissipation and source terms is investigated in this paper. And we establish a general decay result which is not necessarily of exponential or polynomial type.
Abstract
A viscoelastic wave equation in canonical form weakly non- linear time dependent dissipation and source terms is investigated in this paper. And we establish a general decay result which is not necessarily of exponential or polynomial type.
참고문헌 (12)
- S. Berrimi, "Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping", Electron. J. Dierential Equations, 88, pp.1~10 (2004)
- Cavalcanti,M.M, "Existence and uniform decay for nonlinear viscoelastic equation with strong damping", Math. Meth. Appl. Sci., 24, pp.1043~1053 (2001)[DOI]
- 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)
- W.J. Liu, "General decay and blow-up of solution for a quasilinear viscoelastic problem with nolinear source", Nonlinear Anal., 73, pp.1890~1904 (2010)[DOI]
- 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)[DOI]
- 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)[DOI]
- S.A. Messaoudi, "Global existence and asymptotic behavior for a nonlinear viscoelastic problem", Math. Methods Sci. Res. J., 7(4), pp.136~149 (2003)
- S.A. Messaoudi, "Global existence and uniform stability of solutions for quasilinear viscoelastic problem", Math. Meth. Appl. Sci., 30, pp.665~680 (2007)[DOI]
- S.A. Messaoudi, "General decay of the solution energy in a viscoelastic equation with a nonlinear source", Nonlinear Anal., 69, pp.2589~2598 (2008)[DOI]
- 신기연, "GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION", East Asian Mathematical Journal, 32(5), pp.651~658 (2016), 영남수학회[DOI]
- L.E. Payne, "Saddle points and instability of nonlinear hyperbolic equations", Israel Math. J., 22, pp.273~303 (1975)[DOI]
- S.T. Wu, "General decay and blow-up of solutions for a viscoelastic equation with a nonlinear boundary damping-source interactions", Z. Angew. Math. Phys., 63(1), pp.65~106 (2012)[DOI]
관련 논문AI추천
GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION강수진, 신기연영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호ENERGY DECAY AND EXPONENTIAL GROWTH OF SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC SOURCE TERM강용한영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호STABILIZATION FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH A NONLINEAR SOURCE김대욱영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary김대욱영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호General decay for a semilinear wave equation with boundary frictional and memory conditions박선혜대한수학회 · 대한수학회보2014 · 제51권 제3호Global nonexistence for the wave equation with boundary variable exponent nonlinearities박선혜, 하태갑대한수학회 · 대한수학회지2022 · 제59권 제1호
이 간행물의 다른 논문 (14건)
Parametrized Perturbation Results on Global Positive Solutions for Elliptic Equations Involving Critical Sobolev-Hardy Exponents and Hardy Terems김완세pp. 549-570The Cohen Type Theorem for S-*w-Principal Ideal Domains임정욱pp. 571-575Representations of Subharmonic Hardy Functions in the Complex Ball박종희, 권언근pp. 577-585Non-Hopfian SQ-Universal Groups이동희pp. 587-595Further Extension of Two Results Involving ${}_0F_1$ due to Bailey최준상, Arjun Kumar Rathie, Prathima J, Frederick Grothpp. 597-600