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Nonlocal integral manifolds and decoupling of nonlinear parabolic systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1453)

Keywords

  • Banach Space
  • Contraction Mapping
  • Geometric Theory
  • Parabolic System
  • Unique Fixed Point

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References

  1. Krein S.G. Linear differential equations in Banach space. Transl. of Math. Monogr. 29, Am. Math. Soc., Providence, 1971.

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  2. Henry D. Geometric theory of semilinear parabolic equations. Lecture Notes in Math., 840, Springer-Verlag, Berlin and New York, 1981.

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  3. Daleckii Yu.L. and Krein M.G. Stability of solutions of differential equations in Banach space. Transl. of Math. Monogr. 43, Am. Math. Soc., Providence, 1974.

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  4. Mitropol'skii Yu. A. and Lykova O.B. Integral manifolds in nonlinear mechanics. Nauka, Moscow, 1973 (in Russian).

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  5. Pliss V.A. A reduction principle in the theory of stability of motion. Izv. Akad. Nauk SSSR Ser. Mat., 1964, vol. 28, p. 1297–1324 (in Russian).

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  6. Lykova O.B. The reduction principle in Banach space. Ukrain. Mat. Z., 1971, No 4, p. 464–471 (in Russian).

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© 1990 Springer-Verlag

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Sobolev, V.A. (1990). Nonlocal integral manifolds and decoupling of nonlinear parabolic systems. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085949

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  • DOI: https://doi.org/10.1007/BFb0085949

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53407-5

  • Online ISBN: 978-3-540-46861-5

  • eBook Packages: Springer Book Archive