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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some expansion formulas for a class of singular partial differential equations
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by Abdullah Altin PDF
Proc. Amer. Math. Soc. 85 (1982), 42-46 Request permission

Abstract:

We obtain a generalization of the Almansi’s expansion and the Lord Kelvin principle for solutions of a class of iterated elliptic or ultrahyperbolic equations. We also obtain some homogeneous function expansions for solutions of the same equations.
References
    E. Almansi, Sull’ integrazione dell’ differenziale ${\Delta ^{2m}}u = 0$, Ann. Mat. Ser. II, III (1899), 1-59.
  • A. Okay Çelebi, On the generalized Tricomi’s equation, Comm. Fac. Sci. Univ. Ankara Sér. A 17 (1968), 1–31 (English, with Turkish summary). MR 298256
  • Paul Germain and Roger Bader, Sur le problème de Tricomi, Rend. Circ. Mat. Palermo (2) 2 (1953), 53–70 (French). MR 61746, DOI 10.1007/BF02871677
  • Alfred Huber, Some results on generalized axially symmetric potentials, Proceedings of the conference on differential equations (dedicated to A. Weinstein), University of Maryland Book Store, College Park, Md., 1956, pp. 147–155. MR 0083050
  • W. Thomson, Extraits de deux lettres adressées a M. Liouville, J. Math. Pures Appl. 12 (1847), 256.
  • Dorothee Krahn, On the iterated wave equation. IA, IB, Nederl. Akad. Wetensch. Proc. Ser. A 60 = Indag. Math. 19 (1957), 492–505. MR 0098244
  • L. E. Payne and W. H. Pell, The Stokes flow problem for a class of axially symmetric bodies, J. Fluid Mech. 7 (1960), 529–549. MR 115471, DOI 10.1017/S002211206000027X
  • Alexander Weinstein, On a class of partial differential equations of even order, Ann. Mat. Pura Appl. (4) 39 (1955), 245–254. MR 75411, DOI 10.1007/BF02410772
  • Alexander Weinstein, On a singular differential operator, Ann. Mat. Pura Appl. (4) 49 (1960), 359–365. MR 111921, DOI 10.1007/BF02414059
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 42-46
  • MSC: Primary 35C05
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0647894-1
  • MathSciNet review: 647894