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Volumn 305, Issue 1, 1996, Pages 403-417

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

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EID: 0030505515     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01444231     Document Type: Article
Times cited : (140)

References (12)
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    • (1992) Siam J. Control and Optimiz , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 2
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbations for distributed systems
    • J.L. Lions: Exact controllability, stabilization and perturbations for distributed systems. SIAM Rev. 30 (1988) 1-68
    • (1988) SIAM Rev. , vol.30 , pp. 1-68
    • Lions, J.L.1
  • 4
    • 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. J. Math. Anal. Appl. 58 (1977) 336-343
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 336-343
    • Nakao, M.1
  • 5
    • 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. J. Math. Soc. Japan 30 (1978) 747-762
    • (1978) J. Math. Soc. Japan , vol.30 , pp. 747-762
    • Nakao, M.1
  • 6
    • 0001210036 scopus 로고
    • On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions
    • M. Nakao: On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions. Math. Z. 193 (1986) 227-234
    • (1986) Math. Z. , vol.193 , pp. 227-234
    • Nakao, M.1
  • 7
    • 38249035301 scopus 로고
    • On solutions of the wave equation with a sublinear dissipative term
    • M. Nakao: On solutions of the wave equation with a sublinear dissipative term. J. Diff. Eqns. 69 (1987) 204-215
    • (1987) J. Diff. Eqns. , vol.69 , pp. 204-215
    • Nakao, M.1
  • 8
    • 51249177315 scopus 로고
    • Remarks on the existence and uniqueness of global decaying solutions of the non-linear dissipative wave equations
    • M. Nakao: Remarks on the existence and uniqueness of global decaying solutions of the non-linear dissipative wave equations. Math. Z. 206 (1991) 265-275
    • (1991) Math. Z. , vol.206 , pp. 265-275
    • Nakao, M.1
  • 9
    • 84972525392 scopus 로고
    • Energy decay for the wave equation with a nonlinear weak dissipation
    • M. Nakao: Energy decay for the wave equation with a nonlinear weak dissipation. Diff. and Integ. Eqns. 8 (1995) 681-688
    • (1995) Diff. and Integ. Eqns. , vol.8 , pp. 681-688
    • Nakao, M.1
  • 10
    • 0030446223 scopus 로고    scopus 로고
    • Decay of solutions of the wave equation with a local degenerate dissipation
    • to appear
    • M. Nakao: Decay of solutions of the wave equation with a local degenerate dissipation. Israel J. Math. (to appear)
    • Israel J. Math.
    • Nakao, M.1
  • 11
    • 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. Comm. P.D.E. 15 (1990) 205-235
    • (1990) Comm. P.D.E. , vol.15 , pp. 205-235
    • Zuazua, E.1
  • 12
    • 0000402375 scopus 로고
    • Exponential decay for the semilinear wave equation with localized damping in unbounded domains
    • E. Zuazua: Exponential decay for the semilinear wave equation with localized damping in unbounded domains. J. Math. Pures et Appl. 70 (1992) 513-529
    • (1992) J. Math. Pures et Appl. , vol.70 , pp. 513-529
    • Zuazua, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.