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A boundary layer problem for an elliptic equation in the neighborhood of a singular point


Author: Victor J. Mizel
Journal: Proc. Amer. Math. Soc. 8 (1957), 62-67
MSC: Primary 35.0X
DOI: https://doi.org/10.1090/S0002-9939-1957-0083656-X
MathSciNet review: 0083656
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References [Enhancements On Off] (What's this?)

  • [1] D. Aronson, Linear parabolic equations containing small parameters, to appear in Journal of Rational Mechanics and Analysis.
  • [2] S. L. Kamenomostskaya, On equations of elliptic and parabolic type with a small parameter in the highest derivative, Mat. Sbornik N.S. vol. 31(73) (1952) pp. 703-708. (Russian). MR 0054143 (14:877b)
  • [3] N. Levinson, The first boundary value problem for $ \varepsilon \Delta u + A(x,y){u_x} + B(x,y){u_y} + C(x,y)u = D(x,y)$ for small $ \varepsilon $, Ann. of Math. vol. 51 (1950) pp. 428-445. MR 0033433 (11:439k)
  • [4] L. Lichtenstein, Randwertaufgaben der Theorie der linearen partiellen Differentialgleichungen zweiter Ordnung von elliptischen Typus, J. Reine Angew. Math. vol. 142 (1913) pp. 1-40.

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DOI: https://doi.org/10.1090/S0002-9939-1957-0083656-X
Article copyright: © Copyright 1957 American Mathematical Society

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