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Trace continuation in infinite-order Sobolev space on a multidimensional strip region
G. S. Balashova Moscow Power Engineering Institute (Technical University)
Abstract:
In the Sobolev infinite-order space on a multidimensional strip region we obtain conditions for the existence of a function that, together with all its derivatives, assumes prescribed values on the boundary. An example shows that the sufficient conditions for the trace continuation obtained in the present paper have a significant advantage over those obtained earlier. Furthermore, for spaces of some special type our conditions for trace continuation are both sufficient and necessary.
Received: 04.03.1996 Revised: 17.02.1997
Citation:
G. S. Balashova, “Trace continuation in infinite-order Sobolev space on a multidimensional strip region”, Mat. Zametki, 62:6 (1997), 820–830; Math. Notes, 62:6 (1997), 688–696
Linking options:
https://www.mathnet.ru/eng/mzm1671https://doi.org/10.4213/mzm1671 https://www.mathnet.ru/eng/mzm/v62/i6/p820
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Abstract page: | 285 | Full-text PDF : | 89 | References: | 32 | First page: | 1 |
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