Self-adjointness of the minimal Schrödinger operator with potential belonging to L1, loc |
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Authors: | Yu Oro?ko |
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Institution: | Moscow Institute of Electronic Machine-Building, Moscow, U.S.S.R. |
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Abstract: | Let ,m? 1.Consider the operatorT0 = ?Δ+q with domain consisting of all bounded measurable functions , having bounded support, for which the distribution ?Δu+qu belongs to . The main result of the paper is essential self-adjointness of . The proof is independent of a method due to Kato who recently established the self-adjointness of a maximal Schrödinger operator corresponding to such potential. |
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