Inverse Problems and Imaging · 2014 · 41 citations · 16 references
Natural SciencesMathematicsPhysicsDiscrete MathematicsMathematical PhysicsTheoretical PhysicsEigenvalue ProblemsOperator TheorySchrödinger EquationSpectral TheoryDiscrete Eigenvalue ProblemsEigenvaluesEigenvalues Of The LaplacianOperator DomainsOperator SemigroupsUnique Continuation
An analogue of Rellich's theorem is proved for discrete Laplacians on square lattices, and applied to show unique continuation properties on certain domains as well as non-existence of embedded eigenvalues for discrete Schrödinger operators.
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