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Volumn 95, Issue , 1996, Pages 25-42

Decay of solutions of the wave equation with a local degenerate dissipation

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EID: 0030446223     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02761033     Document Type: Article
Times cited : (62)

References (17)
  • 1
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, controle and stabilization of waves from the boundary
    • C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, controle and stabilization of waves from the boundary, SIAM Journal of Control and Optimization 30 (1992), 1024-1065.
    • (1992) SIAM Journal of Control and Optimization , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 2
    • 0002541268 scopus 로고
    • Asymptotic behaviour of solutions of evolution equations
    • (M. G. Crandall, ed.), Academic Press, New York
    • C. M. Dafermos, Asymptotic behaviour of solutions of evolution equations, in Nonlinear Evolution Equations (M. G. Crandall, ed.), Academic Press, New York, 1978, pp. 103-123.
    • (1978) Nonlinear Evolution Equations , pp. 103-123
    • Dafermos, C.M.1
  • 3
    • 0000718355 scopus 로고
    • Stabilization of trajectories for some weakly damped hyperbolic equations
    • A. Haraux, Stabilization of trajectories for some weakly damped hyperbolic equations, Journal of Differential Equations 59 (1985), 145-154.
    • (1985) Journal of Differential Equations , vol.59 , pp. 145-154
    • Haraux, A.1
  • 4
    • 0000706018 scopus 로고
    • Mixed problems for hyperbolic equations of second order
    • M. Ikawa, Mixed problems for hyperbolic equations of second order, Journal of the Mathematical Society of Japan 20 (1968), 580-608.
    • (1968) Journal of the Mathematical Society of Japan , vol.20 , pp. 580-608
    • Ikawa, M.1
  • 5
    • 85012651022 scopus 로고
    • Local decay of solutions for symmetric hyperbolic systems with dissipative and coercive boundary conditions in exterior domains
    • N. Iwasaki, local decay of solutions for symmetric hyperbolic systems with dissipative and coercive boundary conditions in exterior domains, Publications of the Research Institute for Mathematical Sciences of Kyoto University 5 (1969), 193-218.
    • (1969) Publications of the Research Institute for Mathematical Sciences of Kyoto University , vol.5 , pp. 193-218
    • Iwasaki, N.1
  • 7
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbations for distributed systems
    • J. L. Lions, Exact controllability, stabilization and perturbations for distributed systems, SIAM Review 30 (1988), 1-68.
    • (1988) SIAM Review , vol.30 , pp. 1-68
    • Lions, J.L.1
  • 8
    • 0000907825 scopus 로고
    • Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
    • M. Nakao, Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term, Journal of Mathematical Analysis and Applications 58 (1977), 336-343.
    • (1977) Journal of Mathematical Analysis and Applications , vol.58 , pp. 336-343
    • Nakao, M.1
  • 9
  • 10
    • 84972531349 scopus 로고
    • A difference inequality and its applications to nonlinear evolution equations
    • M. Nakao, A difference inequality and its applications to nonlinear evolution equations, Journal of the Mathematical Society of Japan 30 (1978), 747-762.
    • (1978) Journal of the Mathematical Society of Japan , vol.30 , pp. 747-762
    • Nakao, M.1
  • 11
    • 84971108688 scopus 로고
    • Energy decay for the wave equation with a degenerate dissipative term
    • M. Nakao, Energy decay for the wave equation with a degenerate dissipative term, Proceedings of the Royal Society of Edinburgh 100 (1985), 19-27.
    • (1985) Proceedings of the Royal Society of Edinburgh , vol.100 , pp. 19-27
    • Nakao, M.1
  • 12
    • 0000632070 scopus 로고
    • Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term
    • M. Nakao, Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term, Nonlinear Analysis. Theory, Methods & Applications 15 (1990), 115-140.
    • (1990) Nonlinear Analysis. Theory, Methods & Applications , vol.15 , pp. 115-140
    • Nakao, M.1
  • 13
    • 0000901772 scopus 로고
    • Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term
    • M. Nakao, Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term, Journal of Differential Equations 98 (1992), 299-327.
    • (1992) Journal of Differential Equations , vol.98 , pp. 299-327
    • Nakao, M.1
  • 15
    • 0016082307 scopus 로고
    • Exponential decay of solutions to hyperbolic equations in bounded domains
    • J. Rauch and M. Taylor, Exponential decay of solutions to hyperbolic equations in bounded domains, Indiana University Mathematics Journal 24 (1974), 79-86.
    • (1974) Indiana University Mathematics Journal , vol.24 , pp. 79-86
    • Rauch, J.1    Taylor, M.2
  • 16
    • 85012634212 scopus 로고
    • Decay rates for weakly damped systems in Hilbert space
    • D. L. Russell, Decay rates for weakly damped systems in Hilbert space, Journal of Differential Equations 19 (1975), 334-370.
    • (1975) Journal of Differential Equations , vol.19 , pp. 334-370
    • Russell, D.L.1
  • 17
    • 0000976025 scopus 로고
    • Exponential decay for the semilinear wave equation with locally distributed damping
    • E. Zuazua, Exponential decay for the semilinear wave equation with locally distributed damping, Communications in Partial Differential Equations 15 (1990), 205-235.
    • (1990) Communications in Partial Differential Equations , vol.15 , pp. 205-235
    • Zuazua, E.1


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