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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 2, Pages 224–232
(Mi jmag284)
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About one of Weil's theorems for many-dimensional case
A. G. Brusentsev Belgorod Technological Academy of Building Materials, Belgorod, Russia
Abstract:
It is given the new theorem, which extends the known Weil's theorem about Shturm–Liuvill's operator self-adjointness in $L_2(-\infty;+\infty)$ to elliptic second-order operators in $L_2(G)$ ($G\subseteq R^n$). Many-dimensional Weil's theorem is followed from more general theorem, for statement which special construction of covering collection is built. Given results contain the known analogs of many-dimensional Weil's theorem and, as distinguished from them, the results refer to the domain $G$, which may be proper subset of $R^n$.
Received: 22.11.2001
Citation:
A. G. Brusentsev, “About one of Weil's theorems for many-dimensional case”, Mat. Fiz. Anal. Geom., 9:2 (2002), 224–232
Linking options:
https://www.mathnet.ru/eng/jmag284 https://www.mathnet.ru/eng/jmag/v9/i2/p224
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Abstract page: | 106 | Full-text PDF : | 46 |
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