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Mathematical preliminaries

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Group Theoretic Methods in Bifurcation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 762))

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References

  1. R. Adams, Sobolev Spaces, Academic Press, 1975.

    Google Scholar 

  2. S. Agmon, A. Douglis, L. Nirenberg, "Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions," II Comm.Pure Appl. Math. 17 (1964), 35–92.

    Article  MathSciNet  MATH  Google Scholar 

  3. P. Fife, "The Benard problem for general fluid dynamical equations and remarks on the Boussinesq approximation," Indiana University Mathematics Journal, 20 (1970), 303–326.

    Article  MathSciNet  MATH  Google Scholar 

  4. L.M. Graves and T.H. Hildebrandt, "Implicit functions and their differentials in general analysis," Trans. Amer. Math. Soc. 29 (1923), 127–153.

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  5. O.A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, 2nd English ed. Gordon and Breach, 1969.

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  6. D.H. Sattinger, Topics in Stability and Bifurcation Theory, Springer Mathematical Lecture Notes No.309, 1973.

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  7. J.T. Schwartz, Nonlinear Functional Analysis, Gordon and Breach, New York, 1969.

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© 1979 Springer-Verlag

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Sattinger, D.H. (1979). Mathematical preliminaries. In: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087458

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  • DOI: https://doi.org/10.1007/BFb0087458

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  • Print ISBN: 978-3-540-09715-0

  • Online ISBN: 978-3-540-38487-8

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