Keywords
- Finite Difference Method
- Partial Differential Operator
- Forward Solution
- Partial Expansion
- Holomorphic Semigroup
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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
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)
Backus, G., Inference from inadequate and inaccurate data, I, Proc. Nat. Acad. Sci. U.S.A., 65 (1970), pp. 1–7.
Douglas, J., A numerical method for analytic continuation, Boundary Problems in Differential Equations, Univ. of Wisconsin Press, Madison, 1960, pp. 179–189.
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.
Lattes, R., and Lions, J., Méthodé de Quasi-Réversibilité et Applications, Dunod, Paris, 1967.
Miller, K., Three circle theorems in partial differential equations and applications to improperly posed problems, Arch. Rational Mech. Anal., 16 (1964), pp. 126–154.
Miller, K., Least squares methods for ill-posed problems with a prescribed bound, SIAM J. Math. Anal., 1 (1970), pp. 52–73.
Miller, K., Stabilized version of the method of quasi-réversibilité, (to appear).
Miller, K., Logarithmic convexity results for holomorphic semigroups, (in preparation).
Miller, K., and Viano, G., On the necessity of nearly-best-p methods for the analytic continuation of scattering data, (to appear).
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.
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.
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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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