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Volumn 47, Issue 1, 1998, Pages 25-48

Asymptotic stability for abstract evolution equations and applications to partial differential systems

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EID: 84859828497     PISSN: 0009725X     EISSN: 19734409     Source Type: Journal    
DOI: 10.1007/BF02844720     Document Type: Article
Times cited : (4)

References (19)
  • 2
    • 0000549603 scopus 로고
    • On some nonlinear evolution equations with strong dissipation
    • Ebihara Y., On some nonlinear evolution equations with strong dissipation, J. Diff. Equations, 30 (1978), 149-164.
    • (1978) J. Diff. Equations , vol.30 , pp. 149-164
    • Ebihara, Y.1
  • 3
    • 0013552567 scopus 로고
    • Recent results on semilinear hyperbolic problems in bounded domains
    • Lecture Notes in Math, Berlin-New York: Springer-Verlag
    • Haraux A., Recent results on semilinear hyperbolic problems in bounded domains, inPartial Differential Equations, Lecture Notes in Math., 1324, 118-126, Springer-Verlag, Berlin-New York, 1988.
    • (1988) Partial Differential Equations , vol.1324 , pp. 118-126
    • Haraux, A.1
  • 4
    • 84859818087 scopus 로고    scopus 로고
    • Asymptotic stability for perturbed Hamiltonian systems, II
    • Leoni G., Asymptotic stability for perturbed Hamiltonian systems, II, Ann. Scuola Norm. Sup. Pisa, 23 (1996), 531-549.
    • (1996) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 531-549
    • Leoni, G.1
  • 5
    • 0031333224 scopus 로고    scopus 로고
    • Global nonexistence theorems for quasilinear evolution equations with dissipation
    • Levine H., Serrin J., Global nonexistence theorems for quasilinear evolution equations with dissipation, Arch. Rational Mach. Anal., 137 (1997), 341-361.
    • (1997) Arch. Rational Mach. Anal. , vol.137 , pp. 341-361
    • Levine, H.1    Serrin, J.2
  • 7
    • 0013511772 scopus 로고
    • Decay and stability for nonlinear hyperbolic equations
    • Marcati P., Decay and stability for nonlinear hyperbolic equations, J. Diff. Equations, 55 (1984), 30-58.
    • (1984) J. Diff. Equations , vol.55 , pp. 30-58
    • Marcati, P.1
  • 8
    • 0021386195 scopus 로고
    • Stability for second order abstract evolution equations
    • Marcati P., Stability for second order abstract evolution equations, Nonlinear Anal., 18 (1984), 237-252.
    • (1984) Nonlinear Anal. , vol.18 , pp. 237-252
    • Marcati, P.1
  • 9
    • 0001789255 scopus 로고
    • Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms
    • Nakao M., Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms, J. Diff. Equations, 30 (1978), 54-63.
    • (1978) J. Diff. Equations , vol.30 , pp. 54-63
    • Nakao, M.1
  • 10
    • 84972531349 scopus 로고
    • A difference inequality and its application to nonlinear evolution equations
    • Nakao M., A difference inequality and its application 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
  • 11
    • 0011521927 scopus 로고
    • Remark on the first eigenspace for polyharmonic operators
    • Pucci P., Serrin J., Remark on the first eigenspace for polyharmonic operators, Atti Sem. Mat. Fis. Univ. Modena, 36 (1988), 107-117.
    • (1988) Atti Sem. Mat. Fis. Univ. Modena , vol.36 , pp. 107-117
    • Pucci, P.1    Serrin, J.2
  • 12
    • 0002490825 scopus 로고
    • Critical exponents and critical dimensions for polyharmonic operators
    • Pucci P., Serrin J., Critical exponents and critical dimensions for polyharmonic operators, J. Math. Pures et Appl., 69 (1990), 55-83.
    • (1990) J. Math. Pures Et Appl. , vol.69 , pp. 55-83
    • Pucci, P.1    Serrin, J.2
  • 13
    • 0000282907 scopus 로고
    • Precise damping conditions for global asymptotic stability for nonlinear second order systems
    • Pucci P., Serrin J., Precise damping conditions for global asymptotic stability for nonlinear second order systems, Acta Mathematica, 170 (1993), 275-307.
    • (1993) Acta Mathematica , vol.170 , pp. 275-307
    • Pucci, P.1    Serrin, J.2
  • 14
    • 0030558010 scopus 로고    scopus 로고
    • Asymptotic stability for non-autonomous dissipative wave systems
    • Pucci P., Serrin J., Asymptotic stability for non-autonomous dissipative wave systems, Comm. Pure Appl. Math., XLIX (1996), 177-216.
    • (1996) Comm. Pure Appl. Math. , vol.XLIX , pp. 177-216
    • Pucci, P.1    Serrin, J.2
  • 15
    • 85053557044 scopus 로고    scopus 로고
    • Stability for abstract evolution equations
    • P. Marcellini, G. Talenti, and E. Vesentini (Eds.), New York: M. Dekker
    • Pucci P., Serrin J., Stability for abstract evolution equations, inPartial Differential Equations and Applications, edited by P. Marcellini, G. Talenti and E. Vesentini, pp. 279-288, M. Dekker, New York, 1996.
    • (1996) Partial Differential Equations and Applications , pp. 279-288
    • Pucci, P.1    Serrin, J.2
  • 16
    • 84859880772 scopus 로고    scopus 로고
    • Local asymptotic stability for dissipative wave systems
    • Pucci P., Serrin J., Local asymptotic stability for dissipative wave systems, Israel J. Math., 1997.
    • (1997) Israel J. Math.
    • Pucci, P.1    Serrin, J.2
  • 17
    • 84972513493 scopus 로고
    • On continuity of functions with values in various Banach spaces
    • Strauss W. A., On continuity of functions with values in various Banach spaces, Pacific J. Math., 19, (1966), 543-551.
    • (1966) Pacific J. Math. , vol.19 , pp. 543-551
    • Strauss, W.A.1
  • 18
    • 0000999961 scopus 로고
    • Existence and asymptotic behavior for a strongly damped nonlinear wave equation
    • Webb G., Existence and asymptotic behavior for a strongly damped nonlinear wave equation, Canad. J. Math., 32 (1980), 631-643.
    • (1980) Canad. J. Math. , vol.32 , pp. 631-643
    • Webb, G.1
  • 19
    • 84859864951 scopus 로고    scopus 로고
    • Ph. D. Thesis, University of Minnesota
    • Zhu X., Ph. D. Thesis, University of Minnesota (1996).
    • (1996)
    • Zhu, X.1


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