메뉴 건너뛰기




Volumn 36, Issue 4, 1998, Pages 1376-1422

Uniform stabilizability of a full von karman system with nonlinear boundary feedback

Author keywords

Boundary control; Full von Karman system; Uniform stabilization

Indexed keywords

FEEDBACK; MATHEMATICAL MODELS; SYSTEM STABILITY;

EID: 0032121887     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996301907     Document Type: Article
Times cited : (63)

References (28)
  • 1
    • 38249014408 scopus 로고
    • Local exponential stabilization for a nonlinearly perturbed von Karman plate
    • M. BRADLEY AND I. LASIECKA. Local exponential stabilization for a nonlinearly perturbed von Karman plate, Nonlinear Anal., 18 (1992), pp. 333-343.
    • (1992) Nonlinear Anal. , vol.18 , pp. 333-343
    • Bradley, M.1    Lasiecka, I.2
  • 2
    • 85034473109 scopus 로고    scopus 로고
    • Uniqueness theorem for weak solutions of von Karman evolution equations
    • to appear
    • A. B. DE MONVEL AND I. CHUESHOV, Uniqueness theorem for weak solutions of von Karman evolution equations, J. Math. Anal. Appl., to appear.
    • J. Math. Anal. Appl.
    • De Monvel, A.B.1    Chueshov, I.2
  • 3
    • 0001652946 scopus 로고
    • Global existence, uniqueness and regularity of solutions to a von Karman system with nonlinear boundary dissipation
    • A. FAVINI, M. A. HORN, I. LASIECKA, AND D. TATARU, Global existence, uniqueness and regularity of solutions to a von Karman system with nonlinear boundary dissipation, Differential Integral Equations, 9 (1996), pp. 267-294.
    • (1909) Differential Integral Equations , vol.1996 , pp. 267-294
    • Favini, A.1    Horn, M.A.2    Lasiecka, I.3    Tataru, D.4
  • 4
    • 84972576260 scopus 로고
    • Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions
    • A. FAVINI AND I. LASIECKA, Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions, Osaka J. Math., 32 (1995), pp. 721-752.
    • (1995) Osaka J. Math. , vol.32 , pp. 721-752
    • Favini, A.1    Lasiecka, I.2
  • 5
    • 0031677324 scopus 로고    scopus 로고
    • Sharp trace regularity of the traces to solutions of dynamic elasticity
    • M. A. HORN, Sharp trace regularity of the traces to solutions of dynamic elasticity, J. Math. Systems, Estim. Control, 8 (1998), pp. 217-219.
    • (1998) J. Math. Systems, Estim. Control , vol.8 , pp. 217-219
    • Horn, M.A.1
  • 6
    • 84972498136 scopus 로고
    • Uniform decay of weak solutions to a von Karman plate with nonlinear dissipation
    • M. A. HORN AND I. LASIECKA, Uniform decay of weak solutions to a von Karman plate with nonlinear dissipation, Differential Integral Equations, 7 (1994), pp. 885-908.
    • (1994) Differential Integral Equations , vol.7 , pp. 885-908
    • Horn, M.A.1    Lasiecka, I.2
  • 7
    • 0029185178 scopus 로고
    • Global stabilization of a dynamic von Karman plate with nonlinear boundary feedback
    • M. A. HORN AND I. LASIECKA, Global stabilization of a dynamic von Karman plate with nonlinear boundary feedback, Appl. Math. Optim., 31 (1995), pp. 57-84.
    • (1995) Appl. Math. Optim. , vol.31 , pp. 57-84
    • Horn, M.A.1    Lasiecka, I.2
  • 8
    • 84990578241 scopus 로고
    • c and its applications to elasticity theory
    • c and its applications to elasticity theory, Comm. Partial Differential Equations. XXXIX (1986), pp. 747-767.
    • (1986) Comm. Partial Differential Equations , vol.39 , pp. 747-767
    • Isakov, V.1
  • 9
    • 0031562009 scopus 로고    scopus 로고
    • On uniqueness in a lateral Cauchy Problem with multiple characteristics
    • V. ISAKOV, On uniqueness in a lateral Cauchy Problem with multiple characteristics. J. Differential Equations, 97 (1997), pp. 134-147.
    • (1997) J. Differential Equations , vol.97 , pp. 134-147
    • Isakov, V.1
  • 12
    • 0000863352 scopus 로고
    • Modeling and stabilization of nonlinear plates
    • J. LAGNESE. Modeling and stabilization of nonlinear plates, Internat. Ser. Numer. Math., 100 (1991), pp. 247-264.
    • (1991) Internat. Ser. Numer. Math. , vol.100 , pp. 247-264
    • Lagnese, J.1
  • 13
    • 0025791166 scopus 로고
    • Uniform asymptotic energy estimates for solutions of the equations of dynamic plane, elasticity with nonlinear dissipation at the boundary
    • J. LAGNESE, Uniform asymptotic energy estimates for solutions of the equations of dynamic plane, elasticity with nonlinear dissipation at the boundary, Nonlinear Anal., 16 (1991), pp. 35-54.
    • (1991) Nonlinear Anal. , vol.16 , pp. 35-54
    • Lagnese, J.1
  • 14
    • 0001040417 scopus 로고
    • Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
    • J. LAGNESE AND G. LEUGERING, Uniform stabilization of a nonlinear beam by nonlinear boundary feedback, J. Differential Equations, 91 (1991), pp. 355-388.
    • (1991) J. Differential Equations , vol.91 , pp. 355-388
    • Lagnese, J.1    Leugering, G.2
  • 16
    • 33751542104 scopus 로고
    • Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions
    • I. LASIECKA, Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions, Nonlinear Anal., 23 (1994), pp. 797-823.
    • (1994) Nonlinear Anal. , vol.23 , pp. 797-823
    • Lasiecka, I.1
  • 17
    • 0001654129 scopus 로고
    • Finite dimensionality of attractors associated with von Karman plate equations and boundary damping
    • [17) I. LASIECKA, Finite dimensionality of attractors associated with von Karman plate equations and boundary damping, J. Differential Equations, 117 (1995), pp. 357-389.
    • (1995) J. Differential Equations , vol.117 , pp. 357-389
    • Lasiecka, I.1
  • 18
    • 0000283508 scopus 로고    scopus 로고
    • Intermediate solutions to full von Karman system of dynamic nonlinear elasticity
    • to appear
    • I. LASIECKA, Intermediate solutions to full von Karman system of dynamic nonlinear elasticity, Appl. Anal., (1998), to appear.
    • (1998) Appl. Anal.
    • Lasiecka, I.1
  • 19
    • 84972506618 scopus 로고
    • Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
    • I. LASIECKA AND D. TATARU, Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping, J. Differential Integral Equations, 6 (1993), pp. 507-533.
    • (1993) J. Differential Integral Equations , vol.6 , pp. 507-533
    • Lasiecka, I.1    Tataru, D.2
  • 20
    • 0026838533 scopus 로고
    • Uniform stabilization of the wave equation with Dirichlet and Neumann feedback control without geometrical conditions
    • I. LASIECKA AND R. TRIGGIANI, Uniform stabilization of the wave equation with Dirichlet and Neumann feedback control without geometrical conditions, Appl. Math. Optim., 25 (1992), pp. 189-224.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 189-224
    • Lasiecka, I.1    Triggiani, R.2
  • 21
    • 0000988025 scopus 로고
    • Sharp trace estimates of solutions to Kirchhoff and Euler Bernoulli equations
    • I. LASIECKA AND R. TRIGGIANI, Sharp trace estimates of solutions to Kirchhoff and Euler Bernoulli equations, Appl. Math. Optim., 28 (1993), pp. 277-306.
    • (1993) Appl. Math. Optim. , vol.28 , pp. 277-306
    • Lasiecka, I.1    Triggiani, R.2
  • 22
    • 0001168135 scopus 로고    scopus 로고
    • Boundary stabilization for the von Karman equations
    • J. FUEL AND M. TUCSNAK, Boundary stabilization for the von Karman equations, SIAM J. Control, 33 (1996), pp. 255-273.
    • (1996) SIAM J. Control , vol.33 , pp. 255-273
    • Fuel, J.1    Tucsnak, M.2
  • 23
    • 0030243564 scopus 로고    scopus 로고
    • Global existence for the full von Karman system
    • J. FUEL AND M. TUCSNAK, Global existence for the full von Karman system, Appl. Math. Optim., 34 (1996), pp. 139-161.
    • (1996) Appl. Math. Optim. , vol.34 , pp. 139-161
    • Fuel, J.1    Tucsnak, M.2
  • 24
    • 0001793933 scopus 로고
    • On uniqueness of the generalized solutions of initial boundary value problem for Marguerre- Vlasov nonlinear oscillations of the shallow shells
    • Russian Izv.
    • V. I. SEDENKO, On uniqueness of the generalized solutions of initial boundary value problem for Marguerre- Vlasov nonlinear oscillations of the shallow shells, Russian Izv., NorthCaucasus Region, Ser. Natural Sciences, 1-2 (1994).
    • (1994) NorthCaucasus Region, Ser. Natural Sciences , vol.1-2
    • Sedenko, V.I.1
  • 25
    • 85034472026 scopus 로고    scopus 로고
    • Private communication
    • D. TATARU, Private communication, 1997.
    • (1997)
    • Tataru, D.1
  • 27
    • 0000983021 scopus 로고
    • A-priori estimates of Carleman's type in domains with boundary, 3
    • D. TATARU, A-priori estimates of Carleman's type in domains with boundary, 3. Math. Pure Appl., 73 (1994), pp. 355-387.
    • (1994) Math. Pure Appl. , vol.73 , pp. 355-387
    • Tataru, D.1
  • 28
    • 0001460023 scopus 로고    scopus 로고
    • Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity
    • to appear
    • M. A. HORN, Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity, J. Math. Anal. Appl., (1998), to appear.
    • (1998) J. Math. Anal. Appl.
    • Horn, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.