Dirichlet–to–robin Maps on Finite Networks
نویسندگان
چکیده
Our aim is to characterize those matrices that are the response matrix of a semi–positive definite Schrödinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both nonsingular and non diagonally dominant matrices as response matrices. To this end, we define the Dirichlet–to–Robin map associated with a Schrödinger operator on general networks, and we prove that it satisfies the alternating property which is essential to characterize the response matrices.
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