Carleman estimates and absence of embedded eigenvalues

Details Carleman estimates and absence of embedded eigenvalues Carleman estimates and absence of embedded eigenvalues

2005-08-25

arxiv.org/abs/math-ph/0508052v1

Physics

Mathematical Physics

26 pages

Scientific paper

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.

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