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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| Institution: | (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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