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Strong trajectory attractor for a dissipative reaction-diffusion system

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References

  1. J.-M. Ghidaglia, J. Differ. Equations 110(2), 356–359 (1994).

    Article  MATH  MathSciNet  Google Scholar 

  2. I. Moise, R. Rosa, and X. Wang, Nonlinearity 11(5), 1369–1393 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  3. V. K. Vanag, Dissipative Structures in Reaction-Diffusion Systems (Izhevsk, 2008) [in Russian].

  4. M. I. Vishik and V. V. Chepyzhov, Mat. Sb. 196(6), 17–42 (2005).

    MathSciNet  Google Scholar 

  5. J.-L. Lions and E. Magenes, Problemes aux limites non homogénes et applications (Mir, Moscow, 1971; Dunod, Paris, 1968).

    MATH  Google Scholar 

  6. J.-L. Lions, Quelques methodes de résolution des problémes aux limites nonlinéaires (Paris, Dunod, 1969; Moscow, Mir, 1972).

    Google Scholar 

  7. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Springer, New York, 1988).

    MATH  Google Scholar 

  8. A. V. Babin and M. I. Vishik, Attractors of Evolution Equations (Nauka, Moscow, 1989) [in Russian].

    MATH  Google Scholar 

  9. V. V. Chepyzhov and M. I. Vishik, Attractors for Equations of Mathematical Physics (Am. Math. Soc., Providence, R.I., 2002).

    MATH  Google Scholar 

  10. V. V. Chepyzhov and M. I. Vishik, J. Math. Pures Appl. 76, 913–964 (1997).

    MATH  MathSciNet  Google Scholar 

  11. M. I. Vishik and V. V. Chepyzhov, Mat. Zametki 71(2), 194–213 (2002).

    MathSciNet  Google Scholar 

  12. V. V. Chepyzhov and M. I. Vishik, Topol. Meth. Nonlin. Anal. J. Juliusz Schauder Center 7(1), 49–76 (1996).

    MATH  MathSciNet  Google Scholar 

  13. A. N. Kolmogorov and S. V. Fomin, Elements of Function Theory and Functional Analysis (Nauka, Moscow, 1981) [in Russian].

    Google Scholar 

  14. K. Yoshida, Functional Analysis (Academic, New York, 1965; Mir, Moscow, 1967).

    Google Scholar 

  15. M. A. Krasnosel’skii, Topological Methods in the Theory of Nonlinear Integral Equations (GITTL, Moscow, 1956) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Khar’kevich Institute for Information Transmission Problems, Russian Academy of Sciences, Bol’shoi Karetnyi per. 19, Moscow, 127994, Russia

    M. I. Vishik, S. V. Zelik & V. V. Chepyzhov

Authors
  1. M. I. Vishik
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  2. S. V. Zelik
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  3. V. V. Chepyzhov
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Correspondence to M. I. Vishik.

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Original Russian Text © M.I. Vishik, S.V. Zelik, V.V. Chepyzhov, 2010, published in Doklady Akademii Nauk, 2010, Vol. 435, No. 2, pp. 155–159.

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Vishik, M.I., Zelik, S.V. & Chepyzhov, V.V. Strong trajectory attractor for a dissipative reaction-diffusion system. Dokl. Math. 82, 869–873 (2010). https://doi.org/10.1134/S1064562410060086

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