Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Reduction of the third boundary value problem by means of harmonic functions


Author: Clive R. Chester
Journal: Quart. Appl. Math. 25 (1967), 335-337
DOI: https://doi.org/10.1090/qam/99883
MathSciNet review: QAM99883
Full-text PDF Free Access

References | Additional Information

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

  • [1] C. R. Chester, Reduction of a boundary value problem of the third kind to one of the first kind, J. Math. Phys. 40, 68-71 (1961) MR 0123018
  • [2] R. V. Churchill, The operational calculus of Legendre transforms, J. Math. Phys. 33, 165-178 (1954) MR 0062871
  • [3] G. F. D. Duff, Partial differential equations, Univ. of Toronto Press, Toronto, 1956 MR 0078550
  • [4] N. I. Muskhelishvili, Singular integral equations (translated into English by J. R. M. Radok) P. Noordhoff, N. V. Groningen, Holland, 1953 MR 0355494
  • [5] H. Poritsky, On reflection of singularities of harmonic functions corresponding to the boundary condition $ \partial u/\partial n + au = 0$, Bull. Amer. Math. Soc. 43, 873-884 (1937) MR 1563652
  • [6] I. N. Sneddon, Elements of partial differential equations, McGraw-Hill, New York, 1957 MR 0082600


Additional Information

DOI: https://doi.org/10.1090/qam/99883
Article copyright: © Copyright 1967 American Mathematical Society

American Mathematical Society