Comparison theorems for elliptic equations on unbounded domains
Author:
C. A. Swanson
Journal:
Trans. Amer. Math. Soc. 126 (1967), 278-285
MSC:
Primary 35.11; Secondary 35.42
DOI:
https://doi.org/10.1090/S0002-9947-1967-0203211-9
MathSciNet review:
0203211
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References | Similar Articles | Additional Information
- [1] N. Aronszajn, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, J. Math. Pures Appl. 36 (1957), 235-249. MR 0092067 (19:1056c)
- [2] Colin Clark and C. A. Swanson, Comparison theorems for elliptic differential equations, Proc. Amer. Math. Soc. 16 (1965), 886-890. MR 0180753 (31:4983)
- [3] F. R. Gantmacher, The theory of matrices, Vol. I, Chelsea, New York, 1959.
- [4] Philip Hartman and Aurel Wintner, On a comparison theorem for self-adjoint partial differential equations of elliptic type, Proc. Amer. Math. Soc. 6 (1955), 862-865. MR 0074668 (17:627b)
- [5] Walter Leighton, Comparison theorems for linear differential equations of second order, Proc. Amer. Math. Soc. 13 (1962), 603-610. MR 0140759 (25:4173)
- [6] M. H. Protter, A comparison theorem for elliptic equations, Proc. Amer. Math. Soc. 10 (1959), 296-299. MR 0107076 (21:5803)
- [7] C. A. Swanson, A comparison theorem for elliptic differential equations, Proc. Amer. Math. Soc. 17 (1966), 611-616. MR 0201781 (34:1663)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1967-0203211-9
Article copyright:
© Copyright 1967
American Mathematical Society