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

DOI:
https://doi.org/10.1090/S0002-9904-1971-12796-9

MathSciNet review:
0280859

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References | Similar Articles | Additional Information

**1.**S. Bergman,*Integral operators in the thory of linear partial differential equations*, Ergebnisse der Mathematik und ihrer Grenzgebiete, N.F., Heft 23, Springer-Verlag, Berlin, 1961. MR 25 #5277. MR**141880****2.**D. Colton,*Integral operators for elliptic equations in three independent variables.*I, Applicable Analysis (to appear). MR**445098****3.**D. Colton,*Integral operators for elliptic equations in three independent variables.*II, Applicable Analysis (to appear). MR**445098****4.**D. Colton and R. P. Gilbert,*An integral operator approach to Cauchy's problem for Δ*, SIAM J. Math. Anal. 2 (1971), 113-132. MR**293220****5.**R. P. Gilbert and C. Y. 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**298212****6.**B. L. Tjong,*Operators generating solutions of Δ*, Analytic Methods in Math. Phys., Gordon and Breach, New York, 1970. MR**336034****7.**I. N. Vekua,*New methods for solving elliptic equations*, OGIZ, Moscow, 1948; English transl., Series in Appl. Math., vol. 1, North-Holland, Amsterdam; Inter-science, New York, 1967. MR 11, 598; MR 35 #3243. MR**34503**

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DOI:
https://doi.org/10.1090/S0002-9904-1971-12796-9