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On unique continuation for Schrödinger operators of fractional and higher orders
Authors:Ihyeok Seo
Affiliation:School of Mathematics, Korea Institute for Advanced Study, Seoul 130‐722, Republic of Korea
Abstract:In this note we study the property of unique continuation for solutions of urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0001, where V is in a function class of potentials including urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0002 for urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0003. In particular, when urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0004, our result gives a unique continuation theorem for the fractional urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0005 Schrödinger operator urn:x-wiley:dummy:mana201300008:equation:mana201300008-math-0006 in the full range of α values.
Keywords:Unique continuation  Schrö  dinger operators  35B60  35J10
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