A comparison theorem for eigenfunctions

Swanson, C. A.

doi:10.1090/S0002-9939-1973-0312041-7

A comparison theorem for eigenfunctions
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Proc. Amer. Math. Soc. 37 (1973), 537-540 Request permission

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.

References

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