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Volumn 189, Issue 1-2, 1998, Pages 235-263

Kolmogorov ε-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems

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EID: 0032346974     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1998v189n02abeh000301     Document Type: Article
Times cited : (6)

References (25)
  • 1
    • 0000509951 scopus 로고
    • Attractors for non-autonomous evolution equations with almost periodic symbols
    • V. V. Chepyzhov and M. I. Vishik, "Attractors for non-autonomous evolution equations with almost periodic symbols", C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), 357-361.
    • (1993) C. R. Acad. Sci. Paris Sér. I Math. , vol.316 , pp. 357-361
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 2
    • 0001530660 scopus 로고
    • Attractors of non-autonomous dynamical systems and their dimension
    • V. V. Chepyzhov and M. I. Vishik, "Attractors of non-autonomous dynamical systems and their dimension", J. Math. Pures Appl. 73 (1994), 279-333.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 279-333
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 3
    • 0001847381 scopus 로고
    • Attractors of non-autonomous evolution equations with translation-compact symbols
    • V. V. Chepyzhov and M. I. Vishik, "Attractors of non-autonomous evolution equations with translation-compact symbols", Operator Theory: Adv. Appl. 78 (1995), 49-60.
    • (1995) Operator Theory: Adv. Appl. , vol.78 , pp. 49-60
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 4
    • 0000754878 scopus 로고
    • Non-autonomous evolutionary equations with translation-compact symbols and their attractors
    • V. V. Chepyzhov and M. I. Vishik, "Non-autonomous evolutionary equations with translation-compact symbols and their attractors", C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), 153-158.
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.321 , pp. 153-158
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 5
    • 0001904852 scopus 로고
    • ε-entropy and ε-capacity of sets in function spaces
    • A. N. Kolmogorov and V. M. Tikhomirov, "ε-entropy and ε-capacity of sets in function spaces", Uspekhi Mat. Nauk 14 (86):2 (1959), 3-86; English transl. in Amer. Math. Soc. Transl. Ser. 2 17.
    • (1959) Uspekhi Mat. Nauk , vol.14 , Issue.2-86 , pp. 3-86
    • Kolmogorov, A.N.1    Tikhomirov, V.M.2
  • 6
    • 85164647313 scopus 로고    scopus 로고
    • A. N. Kolmogorov and V. M. Tikhomirov, "ε-entropy and ε-capacity of sets in function spaces", Uspekhi Mat. Nauk 14 (86):2 (1959), 3-86; English transl. in Amer. Math. Soc. Transl. Ser. 2 17.
    • Amer. Math. Soc. Transl. Ser. , vol.2 , pp. 17
  • 9
    • 0002010829 scopus 로고    scopus 로고
    • Trajectory attractors for reaction-diffusion systems
    • V. V. Chepyzhov and M. I. Vishik, "Trajectory attractors for reaction-diffusion systems", Topol. Methods Nonlinear Anal. 7:1 (1996), 49-76.
    • (1996) Topol. Methods Nonlinear Anal. , vol.7 , Issue.1 , pp. 49-76
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 11
    • 84968510092 scopus 로고
    • Non-autonomous differential equations and topological dynamics. I, II
    • G. R. Sell, "Non-autonomous differential equations and topological dynamics. I, II", Trans. Amer. Math. Soc. 127 (1967), 241-283.
    • (1967) Trans. Amer. Math. Soc. , vol.127 , pp. 241-283
    • Sell, G.R.1
  • 13
    • 0001050862 scopus 로고
    • Semi-flows associated with compact and almost uniform processes
    • C. M. Dafermos, "Semi-flows associated with compact and almost uniform processes", Math. Systems Theory 8 (1974), 142-149.
    • (1974) Math. Systems Theory , vol.8 , pp. 142-149
    • Dafermos, C.M.1
  • 14
    • 0002068122 scopus 로고
    • Almost periodic processes and almost periodic solutions of evolution equations
    • University of Florida, Gainesville, FL Academic Press, New York
    • C. M. Dafermos, "Almost periodic processes and almost periodic solutions of evolution equations", Dynamical systems (University of Florida, Gainesville, FL 1976), Academic Press, New York 1977, pp. 43-57.
    • (1976) Dynamical Systems , pp. 43-57
    • Dafermos, C.M.1
  • 17
    • 0003424544 scopus 로고
    • Infinite-dimensional dynamical systems in mechanics and physics
    • Springer-Verlag, New York
    • R. Temam, Infinite-dimensional dynamical systems in mechanics and physics, Applied Mathematics Series, vol. 68, Springer-Verlag, New York 1988.
    • (1988) Applied Mathematics Series , vol.68
    • Temam, R.1
  • 18
    • 0031521307 scopus 로고    scopus 로고
    • Evolution equations and their trajectory attractors
    • V. V. Chepyzhov and M. I. Vishik, "Evolution equations and their trajectory attractors", J. Math. Pures Appl. 76 (1997), 913-964.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 913-964
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 21
    • 0003465257 scopus 로고
    • Exponential attractors for dissipative evolution equations
    • Wiley, New York
    • A. Eden, C. Foiaş, B. Nicolaenco, and R. Temam, Exponential attractors for dissipative evolution equations, Res. Appl. Math, vol. 37, Wiley, New York 1994.
    • (1994) Res. Appl. Math , vol.37
    • Eden, A.1    Foiaş, C.2    Nicolaenco, B.3    Temam, R.4
  • 25
    • 0003744099 scopus 로고
    • Providence, RI
    • S. L. Sobolev, Some applications of functional analysis to mathematical physics, Nauka, Moscow 1988; English transl., Amer. Math. Soc., Providence, RI 1991.
    • (1991) Amer. Math. Soc.


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