Weighted Spectral Gap and a Unique Continuation Result for the Magnetic Differential Elliptic Operator

Duni Y. F. Zongo, Bila A. Kyelem and Arouna Ouedraogo

Journal of Mathematics Research, 2022, vol. 14, issue 1, 62

Abstract: We prove two different kind of results for the magnetic elliptic operator which are the spectral gap of the magnetic elliptic functional energy and the inverse Poincare inequality which is used to prove that if u vanish on a set of positive measure E then, u has a zero of infinite order at almost every point of E.

Date: 2022
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