A boundary layer result for an $n$-dimensional linear elliptic equation
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- by V. J. Mizel PDF
- Proc. Amer. Math. Soc. 10 (1959), 775-783 Request permission
References
- D. G. Aronson, Linear parabolic differential equations containing a small parameter, J. Rational Mech. Anal. 5 (1956), 1003–1014. MR 88660, DOI 10.1512/iumj.1956.5.55040
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- 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 O. A. Ladyjzenskaya, On the equations with small parameter at the highest derivatives in the linear partial differential equations, Vestnik Leningrad. Univ. no. 7 (1957) pp. 104-120. P. D. Lax, Partial differential equations, Notes, New York University, Institute of Mathematical Sciences, 1950.
- Norman 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. (2) 51 (1950), 428–445. MR 33433, DOI 10.2307/1969333
- Victor J. Mizel, A boundary layer problem for an elliptic equation in the neighborhood of a singular point, Proc. Amer. Math. Soc. 8 (1957), 62–67. MR 83656, DOI 10.1090/S0002-9939-1957-0083656-X
- Louis Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. 8 (1955), 649–675. MR 75415, DOI 10.1002/cpa.3160080414
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 775-783
- MSC: Primary 35.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0109260-4
- MathSciNet review: 0109260