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Minimum Norm Extremals in Function Spaces pp 12–22Cite as

Nonlinear minimization problems

  • Part I. Existence Theorems
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 479))

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References

  1. S. Agmon, Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, 1965.

    MATH  Google Scholar 

  2. L. D. Berkovitz, Optimal Control Theory, Applied Mathematical Sciences 12, Springer-Verlag, 1974.

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  3. J. W. Daniel, The Approximate Minimization of Functionals, Prentice-Hall, Englewood Cliffs, N. J., 1971.

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  4. S. D. Fisher, “Solutions of some non-linear variational problems in L∞ and the problem of minimum curvature, Archives of Rational Mechanics and Analysis,” to appear.

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  5. J. W. Jerome, “Minimization problems and linear and non-linear spline functions I: Existence,” SIAM J. Numer. Anal., 10 (1973), 808–819.

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  6. -, “Minimization problems and linear and non-linear spline functions, II: Convergence,” SIAM J. Numer. Anal., 10 (1973), 820–830.

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  7. J. W. Jerome, “Smooth interpolating curves of prescribed length and minimum curvature,” Proc. Amer. Math. Soc., 50 (1975).

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  8. J. L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York, 1971.

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  9. S. Mikhlin, The Minimization of a Quadratic Functional, Holden-Day, San Francisco, 1964.

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  10. W. V. Petryshyn, “Construction of fixed points of demicompact mappings in Hilbert space,” J. Math. Anal. Appl., 14 (1966), 274–284.

    Article  MathSciNet  MATH  Google Scholar 

  11. M. M. Vainberg, Variational Methods for the Study of Nonlinear Operators, Holden-Day, San Francisco, 1964.

    MATH  Google Scholar 

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Authors
  1. Prof. Stephen D. Fisher
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  2. Prof. Joseph W. Jerome
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© 1975 Springer-Verlag

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Fisher, S.D., Jerome, J.W. (1975). Nonlinear minimization problems. In: Minimum Norm Extremals in Function Spaces. Lecture Notes in Mathematics, vol 479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097061

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  • DOI: https://doi.org/10.1007/BFb0097061

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07394-9

  • Online ISBN: 978-3-540-37599-9

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