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Proceedings Paper

Multiwavelet characterization of function spaces adapted to the Navier-Stokes equations
Author(s): Joseph D. Lakey; S. Obeidat; M. Cristina Pereyra
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Paper Abstract

We use wavelets based ona modification of the Geronimo- Hardin-Massopust construction to define localized extension/restriction operators form half-spaces to their full spaces/boundaries respectively. These operations are continuous in Sobolev and Morrey space norms. We also prove estimates for multiresolution projections of pointwise products of functions in these spaces. These are two of the key steps in extending results of Federbush and of Cannone and Meyer concerning solutions of Navier-Stokes with initial data in Sobolev and Morrey spaces to the case of half spaces and, ultimately, to more general domains with boundary.

Paper Details

Date Published: 4 December 2000
PDF: 12 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408623
Show Author Affiliations
Joseph D. Lakey, New Mexico State Univ. (United States)
S. Obeidat, New Mexico State Univ. (United States)
M. Cristina Pereyra, Univ. of New Mexico (United States)

Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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