On self-adjointness of the product of two second-order differential operators |
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Authors: | Zhijiang Cao Jiong Sun D. E. Edmunds |
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Affiliation: | (1) Department of Mathematics, Inner Mongolia University, 010021 Huhhot, P. R. China;(2) Centre for Mathematical Analysis and its Applications, University of Sussex, Falmer, BN1 9QH Brighton, England |
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Abstract: | In this paper, the problem of self-adjointness of the product of two differential operators is considered. A number of results concerning self-adjointness of the productL 2 L 1 of two second-order self-adjoint differential operators are obtained by using the general construction theory of self-adjoint extensions of ordinary differential operators. Supported by the Royal Society and the National Natural Science Foundation of China and the Regional Science Foundation of Inner Mongolia |
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Keywords: | Self-adjoint operator Differential operator Product of two differential operators |
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