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Enclosure Theorems for Eigenvalues of Elliptic Operators
Published online by Cambridge University Press: 20 November 2018
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Let L be the linear, elliptic, self-adjoint partial differential operator given by
where Dj denotes partial differentiation with respect to xj, 1 ≤ j ≤ n, b is a positive, continuous real-valued function of x = (x1,…,xn) in n-dimensional Euclidean space En, the aij are real-valued functions possessing uniformly continuous first partial derivatives in En and the matrix {aij} is everywhere positive definite. A solution u of Lu = 0 is assumed to be of class C1.
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- Copyright © Canadian Mathematical Society 1970
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