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Solvability of a certain inverse problem for a parabolic equation in a Hölder class

✍ Scribed by D. G. Orlovskii

Publisher: SP MAIK Nauka/Interperiodica
Year: 1991
Tongue: English
Weight: 378 KB
Volume: 50
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01156141

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## Abstract Let Ω~1~ and Ω~2~ be bounded, connected open sets in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^N$\end{document} with continuous boundary, and let __p__ > 2. We show that every positive linear isometry __T__ from __W__^1, __p__^(Ω~1~) to __W