On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces
The general ordinary quasidifferential expression Mp of nth order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals Ip=(ap,bp), p=1,…, N, are considered in the setting of the direct sums of Lwp2(ap,bp)-spaces of functions defined on each of the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203007841 |
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| Summary: | The general ordinary quasidifferential expression Mp of nth
order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals
Ip=(ap,bp), p=1,…,
N, are considered in the setting of the direct sums of
Lwp2(ap,bp)-spaces of functions defined on each of the separate intervals. And a number of results concerning the location of the point spectra and regularity fields of general differential operators generated by such expressions are obtained. |
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| ISSN: | 0161-1712 1687-0425 |