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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Bergman operators for elliptic equations in three independent variables


Author: David Colton
Journal: Bull. Amer. Math. Soc. 77 (1971), 752-756
MSC (1970): Primary 35A20, 35C15; Secondary 35J15
MathSciNet review: 0280859
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  • 1. Stefan Bergman, Integral operators in the theory of linear partial differential equations, Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Heft 23, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0141880 (25 #5277)
  • 2. David Colton, Integral operators for elliptic equations in three independent variables. I, Applicable Anal. 4 (1974/75), 77–95. MR 0445098 (56 #3443)
  • 3. David Colton, Integral operators for elliptic equations in three independent variables. I, Applicable Anal. 4 (1974/75), 77–95. MR 0445098 (56 #3443)
  • 4. David Colton and Robert P. Gilbert, An integral operator approach to Cauchy’s problem for Δ_{𝑝+2}𝑢(𝑥)+𝐹(𝑥)𝑢(𝑥)=0, SIAM J. Math. Anal. 2 (1971), 113–132. MR 0293220 (45 #2299)
  • 5. Robert P. Gilbert and Chi Yeung Lo, On the approximation of solutions of elliptic partial differential equations in two and three dimensions, SIAM J. Math. Anal. 2 (1971), 17–30. MR 0298212 (45 #7264)
  • 6. Bwee Lan Tjong, Operators generating solutions of Δ₃Ψ(𝑥,𝑦,𝑧)+𝐹 (𝑥,𝑦,𝑧)Ψ(𝑥,𝑦,𝑧)=0 and their properties, Analytic methods in mathematical physics (Sympos., Indiana Univ., Bloomington, Ind., 1968) Gordon and Breach, New York, 1970, pp. 547–552. MR 0336034 (49 #810)
  • 7. I. N. Vekua, Novye metody rešeniya èlliptičeskih uravneniĭ, OGIZ, Moscow-Leningrad,], 1948 (Russian). MR 0034503 (11,598a)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1971-12796-9
PII: S 0002-9904(1971)12796-9