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Volumn 4, Issue 4, 2004, Pages 591-612

A reduction principle for coupled nonlinear parabolic-hyperbolic PDE

Author keywords

Asymptotic stability; Invariant manifold; Nonlinear thermoelasticity

Indexed keywords


EID: 12444274980     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-004-0175-6     Document Type: Article
Times cited : (16)

References (15)
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  • 3
    • 38249029133 scopus 로고
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  • 5
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    • Introduction to the Theory of Infinite-Dimensional Dissipative Systems
    • Kharkov, in Russian
    • CHUESHOV, I. D., Introduction to the Theory of Infinite-Dimensional Dissipative Systems, Acta, Kharkov, 1999, in Russian; English translation: Acta, Kharkov, 2002; see also http://www.emis.de/ monographs/Chueshov/
    • (1999) Acta
    • Chueshov, I.D.1
  • 6
    • 12444255917 scopus 로고    scopus 로고
    • English translation: Kharkov
    • CHUESHOV, I. D., Introduction to the Theory of Infinite-Dimensional Dissipative Systems, Acta, Kharkov, 1999, in Russian; English translation: Acta, Kharkov, 2002; see also http://www.emis.de/ monographs/Chueshov/
    • (2002) Acta
  • 8
    • 0003460899 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer, Berlin-Heidelberg-New York
    • HENRY, D., Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math. 840, Springer, Berlin-Heidelberg-New York, 1981.
    • (1981) Lecture Notes in Math. 840
    • Henry, D.1
  • 10
    • 0033483601 scopus 로고    scopus 로고
    • The optimal gap condition for invariant manifolds
    • LATUSHKIN, Y. and LAYTON, B., The optimal gap condition for invariant manifolds, Discr. Cont. Dyn. Systems 5 (1999), 233-268.
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    • Latushkin, Y.1    Layton, B.2
  • 11
    • 0037219853 scopus 로고    scopus 로고
    • Asymptotically stable invariant manifold for coupled nonlinear parabolic-hyperbolic partial differential equations
    • LEUNG, A. W., Asymptotically stable invariant manifold for coupled nonlinear parabolic-hyperbolic partial differential equations, J. Diff. Eq. 187 (2003), 184-200.
    • (2003) J. Diff. Eq. , vol.187 , pp. 184-200
    • Leung, A.W.1
  • 12
    • 0001372244 scopus 로고
    • A sharp condition for existence of an inertial manifold
    • MIKLAVČIČ, M., A sharp condition for existence of an inertial manifold. J. Dyn. Diff. Eq. 3 (1991), 437-456.
    • (1991) J. Dyn. Diff. Eq. , vol.3 , pp. 437-456
    • Miklavčič, M.1
  • 13
    • 0031606965 scopus 로고    scopus 로고
    • Existence and exponential decay in nonlinear thermoelasticity
    • MUNOZ RIVERA, J. E. and BARRETO, R. K., Existence and exponential decay in nonlinear thermoelasticity, Nonlin. Anal. 31 (1998), 149-162.
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    • Munoz Rivera, J.E.1    Barreto, R.K.2
  • 14
    • 0001314893 scopus 로고
    • Smoothing properties, decay, and global existence of solutions to nonlinear coupled system of thermoelasticity type
    • MUNOZ RIVERA, J. E. and RACKE, R., Smoothing properties, decay, and global existence of solutions to nonlinear coupled system of thermoelasticity type, SIAM J. Math. Anal. 26 (1995), 1547-1563.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1547-1563
    • Munoz Rivera, J.E.1    Racke, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.