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POLYHARMONIC OPERATORS WITH LIMIT-PERIODIC POTENTIAL
Yulia Karpeshina,Young-Ran Lee 한국산업응용수학회 2007 한국산업응용수학회 학술대회 논문집 Vol.3 No.2
We give a brief survey on spectral properties of polyharmonic operators H=(-△)<SUP>l</SUP>+V(x), l ∈ ?, with a limit-periodic potential V(x)
Karpeshina, Yulia,Lee, Young-Ran Taylor Francis 2008 Communications in partial differential equations Vol.33 No.9
<P> We consider a polyharmonic operator H = (-&Dgr;)l + V(x) in dimension two with l ≥ 6, l being an integer, and a limit-periodic potential V(x). We prove that the spectrum contains a semiaxis of absolutely continuous spectrum.</P>