Bergman operators for elliptic equations in three independent variables
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- by David Colton PDF
- Bull. Amer. Math. Soc. 77 (1971), 752-756
References
- 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
- David Colton, Integral operators for elliptic equations in three independent variables. I, Applicable Anal. 4 (1974/75), 77–95. MR 445098, DOI 10.1080/00036817408839084
- David Colton, Integral operators for elliptic equations in three independent variables. I, Applicable Anal. 4 (1974/75), 77–95. MR 445098, DOI 10.1080/00036817408839084
- David Colton and Robert P. Gilbert, An integral operator approach to Cauchy’s problem for $\Delta _{p+2}u(x)+F(x)u(x)=0$, SIAM J. Math. Anal. 2 (1971), 113–132. MR 293220, DOI 10.1137/0502011
- 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 298212, DOI 10.1137/0502002
- Bwee Lan Tjong, Operators generating solutions of $\Delta _{3}\~\Psi (x,\,y,\,z)+\~F$ $(x,\,y,\,z)\~\Psi (x,\,y,\,z)=0$ 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
- I. N. Vekua, Novye metody rešeniya èlliptičeskih uravneniĭ, OGIZ, Moscow-Leningrad, 1948 (Russian). MR 0034503
Additional Information
- 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