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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A comparison theorem for eigenfunctions


Author: C. A. Swanson
Journal: Proc. Amer. Math. Soc. 37 (1973), 537-540
MSC: Primary 35B05
DOI: https://doi.org/10.1090/S0002-9939-1973-0312041-7
MathSciNet review: 0312041
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Abstract: A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0312041-7
Keywords: Nonselfadjoint elliptic equation, Sturmian comparison theorem, homogeneous boundary condition, Green formula
Article copyright: © Copyright 1973 American Mathematical Society