Bulletin of the American Mathematical Society

MathSciNet review: 1567141
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Book Information:

Authors: A. N. Tikhonov and V. Y. Arsenin
Title: Solutions of ill posed problems
Additional book information: (F. John, Translation Editor) V. H. Winston and Sons (distributed by Wiley, New York), 1977, xiii + 258 pp., $19.75.

D. G. Bourgin and R. Duffin, The Dirichlet problem for the virbrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851–858. MR 729, DOI 10.1090/S0002-9904-1939-07103-6

2.

R. Courant and D. Hilbert, Methods of mathematical physics. II, Partial differential equations, Interscience, New York, 1962.

David W. Fox and Carlo Pucci, The Dirichlet problem for the wave equation, Ann. Mat. Pura Appl. (4) 46 (1958), 155–182. MR 104902, DOI 10.1007/BF02412914

4.

J. Hadamard, Lectures in the Cauchy problem in linear partial differential equations, Yale Univ. Press, New Haven, Conn., 1923.

5.

M. M. Lavrentiev, Some improperly posed problems of mathematical physics, Tracts in Natural Philosophy, vol. 11, Springer-Verlag, Berlin, 1967.

L. E. Payne, Improperly posed problems in partial differential equations, Regional Conference Series in Applied Mathematics, No. 22, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1975. MR 0463736

R. J. Knops (ed.), Symposium on Non-Well-Posed Problems and Logarithmic Convexity, Lecture Notes in Mathematics, Vol. 316, Springer-Verlag, Berlin-New York, 1973. Held in Heriot-Watt University, Edinburgh, March 22–24, 1972. MR 0369869

1.

D. G. Bourgin and R. J. Duffin, The Dirichlet problem for the vibrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851-858. MR 0000729

2.

R. Courant and D. Hilbert, Methods of mathematical physics. II, Partial differential equations, Interscience, New York, 1962.

3.

D. Fox and C. Pucci, The Dirichlet problem for the wave equation, Ann. Mat. Pura Appl. 46 (1958), 155-182. MR 104902

4.

J. Hadamard, Lectures in the Cauchy problem in linear partial differential equations, Yale Univ. Press, New Haven, Conn., 1923.

5.

M. M. Lavrentiev, Some improperly posed problems of mathematical physics, Tracts in Natural Philosophy, vol. 11, Springer-Verlag, Berlin, 1967.

6.

L. E. Payne, Improperly posed problems in partial differential equations, CBMS Regional Conf. Ser. in Appl. Math., no. 22, SIAM, Philadelphia, Pa., 1975. MR 463736

7.

Symposium on non-well-posed problems and logarithmic convexity (R. J. Knops ed.), Lecture Notes in Math., vol. 316, Springer-Verlag, Berlin and New York, 1973. MR 369869