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Second-Order Elliptic Equation of Divergence Form Having a Compactly Supported Solution
Authors:N Filonov
Institution:(1) University of Maryland, College Park, Maryland;(2) University of Minnesota, Minneapolis, Minnesota;
Abstract:An equation of the form -div (gnablau) = lambdau has a solution u of class C 0 infin , where g is a real positive definite matrix-valued function belonging to the Holder classes with exponent less than 1. From the spectral point of view, this means that there exists a Schrodinger operator with periodic metric and the spectrum of this operator contains an eigenvalue of infinite multiplicity. Bibliography: 9 titles.
Keywords:
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