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Uniqueness and approximation theorems for potentials. III

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Literature Cited

  1. G. Anger, Funktionalanalytische Betrachtungen bei Differentialgleichungen unter Verwendung von Methoden der Potentialtheorie, Vol. 1, Akademie-Verlag, Berlin (1967).

    Google Scholar 

  2. M. Brelot, Fundamentals of Classical Potential Theory [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  3. N. S. Landkof, Fundamentals of Modern Potential Theory [in Russian], Fizmatgiz, Moscow (1966).

    Google Scholar 

  4. M. V. Keldysh, “On the solvability and stability of Dirichlet's problem”, Usp. Matem. Nauk,8, 171–292 (1941).

    Google Scholar 

  5. A. De la Pradelle, “Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques”, Ann. Inst. Fourier,17, 383–400 (1967).

    Google Scholar 

  6. G. Anger, “Eindeutigkeitssätze und Approximationssätze für Potentiale, II”, Math. Nachrichten,50, 229–244 (1971).

    Google Scholar 

  7. G. Anger, Eine potentialtheoretische Methode zur Behandlung von Randwertaufgaben Elliptische Differentialgl., Vol. 2, Akademie-Verlag, Berlin (1971).

    Google Scholar 

  8. M. M. Lavrent'ev, Some Incorrect Problems of Mathematical Physics [in Russian], Izd. SO AN SSSR, Novosibirsk (1962).

    Google Scholar 

  9. A. I. Prilepko, “On the uniqueness of the solution of the exterior inverse problem of the Newtonian potential”, Differents. Uravnen.,2, 107–124 (1966).

    Google Scholar 

  10. A. I. Prilepko, “Exterior inverse problem of a volume potential of variable density for a body close to a given body”, Dokl. Akad. Nauk SSSR,185, 40–42 (1968).

    Google Scholar 

  11. A. I. Prilepko, “On the uniqueness of determining the form and density of a body in the inverse problem of potential theory”, Dokl. Akad. Nauk SSSR,193, 288–291 (1970).

    Google Scholar 

  12. A. N. Tikhonov, V. K. Ivanov, and M. M. Lavrent'ev, “Incorrectly posed problems”, in: Partial Differential Equations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  13. N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1, Wiley, New York (1958).

    Google Scholar 

  14. R. R. Phelps, Lectures on Choquet's Theorems [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  15. E. M. Alfsen, Compact Convex Sets and Boundary Integrals, Ergebnisse der Math., Band 57, Springer, Berlin-Gottingen-Heidelberg (1971).

    Google Scholar 

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  1. G. Anger
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Translatd from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 6, pp. 1163–1179, November–December, 1973.

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Anger, G. Uniqueness and approximation theorems for potentials. III. Sib Math J 14, 811–824 (1973). https://doi.org/10.1007/BF00975886

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