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## Banach Center Publications

1992 | 27 | 1 | 111-128
Tytuł artykułu

### Towards the Cauchy problem for the Laplace equation

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
111-128
Opis fizyczny
Daty
wydano
1992
Twórcy
autor
• Hanoi Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam
autor
• Hanoi Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, Vietnam
autor
• FB Mathematik, Institut für Mathematik I, Freie Universität Berlin, Arnimallee 2-6, D-1000 Berlin 33, Germany
Bibliografia
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• [48] H. A. Levine and S. Vessella, Estimates and regularization for solutions of some ill-posed problems of elliptic and parabolic type, Rend. Circ. Mat. Palermo 123 (1986), 161-183.
• [49] B. H. Li and Y. Q. Li, On the initial value problem of the Laplace equation, J. Systems Sci. Math. Sci. 7 (1987), 1-6.
• [50] O. A. Liskovets, A solution of the Cauchy problem for the Laplace equation by a generalized method of the summability of series, Vestsi Akad. Navuk BSSR Ser. Fiz.-Mat. Navuk 1970 (4), 68-74 (in Russian).
• [51] V. G. Mazya and V. P. Khavin, On the solutions of the Cauchy problem for Laplace's equation (solvability, normality, approximation), Trans. Moscow Math. Soc. 30 (1974), 65-117.
• [52] L. A. Medeiros, Remarks on a non well-posed problem, Proc. Roy. Soc. Edinburgh 102A (1986), 131-140.
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• [55] K. Miller, Three circle theorems in partial differential equations and applications to improperly posed problems, Arch. Rational Mech. Anal. 16 (1964), 126-154.
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• [57] S. Mizohata, Unicité dans les problèmes de Cauchy pour quelques équations différentielles elliptiques, Mem. Coll. Sci. Univ. Kyoto Ser. A Math. 31 (1958), 121-128.
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• 1. Dinh Nho Hào, A mollification method for ill-posed problems, preprint A-92-35, FB Mathematik, FU Berlin.
• 2. A. V. Fursikov, The Cauchy problem for a second-order elliptic equation in a conditionally well-posed formulation, Trans. Moscow Math. Soc. 52 (1990), 139–176.
• 3. M. V. Klibanov and F. Santosa, A computational quasi-reversibility method for Cauchy problems for Laplace’s equation, SIAM J. Appl. Math. 5 (1991), 1653–1675.
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