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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.
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참고문헌 (16)
참고문헌 신청
D. Andrade / 2012 / Exponential stability for a plate equation with p-Laplacian and memory terms / Math. Methods Appl. Sci. 35(4):417~426
A. Benaissa / 2014 / 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):13
K. Bouhali / 2017 / Viscoelastic wave equation with logarithmic nonlinearities in Rn / J. Partial Differ. Equ 30(1):47~63
T. Cazenave / 1980 / Equations d'evolution avec non linearite logarithmique / Ann. Fac. Sci. Toulouse Math. (5) 2(1):21~51
H. Chen / 2015 / Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity / J. Math. Anal. Appl. 422(1):84~98
A. Benaissa / 2014 / 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):13
K. Bouhali / 2017 / Viscoelastic wave equation with logarithmic nonlinearities in Rn / J. Partial Differ. Equ 30(1):47~63
T. Cazenave / 1980 / Equations d'evolution avec non linearite logarithmique / Ann. Fac. Sci. Toulouse Math. (5) 2(1):21~51
H. Chen / 2015 / Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity / J. Math. Anal. Appl. 422(1):84~98
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