Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Axially-symmetric boundary-value problems


Author: Albert E. Heins
Journal: Bull. Amer. Math. Soc. 71 (1965), 787-808
DOI: https://doi.org/10.1090/S0002-9904-1965-11400-8
Errata, volume 71: Bull. Amer. Math. Soc., Volume 72, Number 2 (1966), 342--342
MathSciNet review: 0186928
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. H. Bateman, Partial differential equations of mathematical physics, Cambridge Univ. Press, New York, 1952. MR 104040
  • 2. E. Beltrami, Sulla teoria delle funzioni potenziali simmetriche, Mem. Accad. Sci. Ist. Bologna (4) 2 (1880), 461-505.
  • 3. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. I, Quart. J. Mech. Appl. Math. 12 (1959), 232-241. MR 106009
  • 4. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. II, Mathematika 6 (1959), 120-133. MR 116861
  • 5. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. III, Proc. London Math. Soc. (3)10 (1960), 428-460. MR 118940
  • 6. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. IV, Proc. Edinburgh Math. Soc (2)12 (1960/1961), 95-106. MR 126559
  • 7. W. D. Collins, Note on the electrified spherical cap, Proc. Cambridge Philos. Soc. 55 (1959), 377-379. MR 110435
  • 8. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. V, Quart. J. Mech. Appl. Math. 14 (1961), 101-117. MR 129763
  • 9. W. D. Collins, Note on the electrified circular disk situated inside an earthed coaxial infinite cylinder, Proc. Cambridge Philos. Soc. 57 (1961), 623-627. MR 127737
  • 10. W. D. Collins, The forced torsional oscillations of an elastic half-space and an elastic stratum, Proc. London Math. Soc. (3)12 (1962), 226-244. MR 136161
  • 11. W. D. Collins, On the solution of some axisymmetric boundary value problems by means of integral equations. VII, Proc. Edinburgh Math. Soc. (2)13 (1962), 13-23. MR 141353
  • 12. J. C. Cooke, A solution of Tranter's dual integral equation problem, Quart. J. Mech. Appl. Math. 9 (1956), 103-110. MR 76996
  • 13. J. C. Cooke, The coaxial circular disk problem, Z. Angew. Math. Mech. 38 (1958), 349-356. MR 99838
  • 14. E. T. Copson, On the problem of the electrified disc, Proc. Edinburgh Math. Soc. 8 (1947), 14-19. MR 23192
  • 15. A. E. Heins, Function-theoretic aspects of diffraction theory; Electromagnetic waves, Proceedings of a Symposium conducted by the Mathematics Research Center, Univ. of Wisconsin, Madison, Wis., 1961; pp. 99-108. MR 133658
  • 16. A. E. Heins and R. C. MacCamy, On mixed boundary-value problems for axially-symmetric potentials, J. Math. Anal. Appl. 1 (1960), 331-333. MR 125250
  • 17. A. E. Heins and R. C. MacCamy, On the scattering of waves by a disk, Z. Angew. Math. Phys. 11 (1960), 249-264, 543-544. MR 129264
  • 18. A. E. Heins and R. C. MacCamy, Integral representations of axially symmetric potential functions, Arch. Rational Mech. Anal. 13 (1963), 371-385. MR 163047
  • 19. P. Henrici, Zur Funktionentheorie der Wellengleichung, Comment. Math. Helv. 27 (1953), 235-293. MR 60693
  • 20. P. Henrici, A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients, Z. Angew. Math. Phys. 8 (1957), 169-203. MR 85427
  • 21. D. S. Jones, A new method for calculating scattering with particular reference to the circular disc, Comm. Pure Appl. Math. 9 (1956), 713-746. MR 97948
  • 22. E. R. Love, The electrostatic field of two equal circular co-axial conducting disks, Quart. J. Mech. Appl. Math. 2 (1949), 428-451. MR 34700
  • 23. S. D. Poisson, Journal de l'École Royale Polytechnique, Tome 12, Cahier 19 (1823), 215-248.
  • 24. G. Temple, Whittaker's work in the integral representations of harmonic functions, Proc. Edinburgh Math. Soc. 11 (1958), 11-24. MR 96906
  • 25. A. Weinstein, Generalized axially symmetric potential theory, Bull. Amer. Math. Soc. 59 (1953), 20-38. MR 53289
  • 26. A. Weinstein, Singular partial differential equations and their applications, Proc. Sympos. Fluid Dynamics and Applied Mathematics, Univ. of Maryland, 1961; Gordon and Breach, New York, 1962; pp. 29-49. MR 153965


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1965-11400-8

American Mathematical Society