Carleman estimates and absence of embedded eigenvalues

DOI10.1007/S00220-006-0060-YzbMATH Open1151.35025arXivmath-ph/0508052OpenAlexW3102207786MaRDI QIDQ882971

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Publication date: 31 May 2007

Published in: (Search for Journal in Brave)

Abstract: Let L be a Schroedinger operator with potential W in L^{(n+1)/2}. We prove that there is no embedded eigenvalue. The main tool is an Lp Carleman type estimate, which builds on delicate dispersive estimates established in a previous paper. The arguments extend to variable coefficient operators with long range potentials and with gradient potentials.

Full work available at URL: https://arxiv.org/abs/math-ph/0508052

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