We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schrodinger operator with complex-valued potentials by obtaining a weighted L-2 estimate for the resolvent of the Laplacian. (C) 2018 Elsevier Inc. All rights reserved.
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St Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia
Korotyaev, Evgeny
Safronov, Oleg
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UNCC, Dept Math & Stat, Charlotte, NC USASt Petersburg State Univ, Univ Skaya Naberezhnaya 7, St Petersburg 199034, Russia