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Stabilized quasi-reversibilite and other nearly-best-possible methods for non-well-posed problems

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Symposium on Non-Well-Posed Problems and Logarithmic Convexity

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 316))

Talk given at the Symposium on Logarithmic Convexity and Non-Well Posed Problems, 21–24 March 1972, Heriot-Watt University, Edinburgh.

Supported by a C.N.R. Visiting Professorship at Universita di Firenze and by N.S.F. grant

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References

  1. Agmon, S., and Nirenberg, L., Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math., 16 (1963), pp. 121–239. (see p. 136)

    Article  MathSciNet  MATH  Google Scholar 

  2. Backus, G., Inference from inadequate and inaccurate data, I, Proc. Nat. Acad. Sci. U.S.A., 65 (1970), pp. 1–7.

    Article  MATH  Google Scholar 

  3. Douglas, J., A numerical method for analytic continuation, Boundary Problems in Differential Equations, Univ. of Wisconsin Press, Madison, 1960, pp. 179–189.

    Google Scholar 

  4. John, F., Continuous dependence on data for solutions of partial differential equations with a prescribed bound, Comm. Pure Appl. Math., 13 (1960), pp. 551–585.

    Article  MathSciNet  MATH  Google Scholar 

  5. Lattes, R., and Lions, J., Méthodé de Quasi-Réversibilité et Applications, Dunod, Paris, 1967.

    MATH  Google Scholar 

  6. Miller, K., Three circle theorems in partial differential equations and applications to improperly posed problems, Arch. Rational Mech. Anal., 16 (1964), pp. 126–154.

    Article  MathSciNet  MATH  Google Scholar 

  7. Miller, K., Least squares methods for ill-posed problems with a prescribed bound, SIAM J. Math. Anal., 1 (1970), pp. 52–73.

    Article  MathSciNet  MATH  Google Scholar 

  8. Miller, K., Stabilized version of the method of quasi-réversibilité, (to appear).

    Google Scholar 

  9. Miller, K., Logarithmic convexity results for holomorphic semigroups, (in preparation).

    Google Scholar 

  10. Miller, K., and Viano, G., On the necessity of nearly-best-p methods for the analytic continuation of scattering data, (to appear).

    Google Scholar 

  11. Pucci, C., Studio col metodo delle differenze di un problema di Cauchy relativo ad equazioni a derivate parziali del secondo ordine di tipo parabolico, Ann. della Scuola Norm. Sup. di Pisa, Serie III, Vol. VII, Fasc. III–IV (1953), pp. 205–215.

    MathSciNet  MATH  Google Scholar 

  12. Pucci, C., Sui problemi di Cauchy non "ben posti", Atti. Accad. Naz. Lincei Rend. Al. Sci. Fis. Mat. Natur. (8), 18 (1955), pp. 473–477.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, California

    K. Miller

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  1. K. Miller
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R. J. Knops

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© 1973 Springer-Verlag Berlin

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Miller, K. (1973). Stabilized quasi-reversibilite and other nearly-best-possible methods for non-well-posed problems. In: Knops, R.J. (eds) Symposium on Non-Well-Posed Problems and Logarithmic Convexity. Lecture Notes in Mathematics, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069627

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  • DOI: https://doi.org/10.1007/BFb0069627

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06159-5

  • Online ISBN: 978-3-540-38370-3

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