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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
MathSciNet review: 0083656
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  • [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 derivatives, Mat. Sbornik N.S. 31(73) (1952), 703–708 (Russian). MR 0054143
  • [3] Norman Levinson, The first boundary value problem for 𝜖Δ𝑢+𝐴(𝑥,𝑦)𝑢ₓ+𝐵(𝑥,𝑦)𝑢_{𝑦}+𝐶(𝑥,𝑦)𝑢=𝐷(𝑥,𝑦) for small 𝜖, Ann. of Math. (2) 51 (1950), 428–445. MR 0033433,
  • [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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