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Maximal L p -regularity for parabolic and elliptic equations on the line

Maximal L p -regularity for parabolic and elliptic equations on the line Let A be a closed operator on a Banach space X . We study maximal L p -regularity of the problems $$ \begin{aligned} u^{\prime} (t) & = Au(t) + f(t)\quad {\hbox{and}}\\ u^{\prime\prime}(t) & = Au(t) + f(t) \end{aligned} $$ on the line. The results are used to solve quasilinear parabolic and elliptic problems on the line. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Maximal L p -regularity for parabolic and elliptic equations on the line

Journal of Evolution Equations , Volume 6 (4) – Dec 1, 2006

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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Birkhäuser Verlag, Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-006-0292-5
Publisher site
See Article on Publisher Site

Abstract

Let A be a closed operator on a Banach space X . We study maximal L p -regularity of the problems $$ \begin{aligned} u^{\prime} (t) & = Au(t) + f(t)\quad {\hbox{and}}\\ u^{\prime\prime}(t) & = Au(t) + f(t) \end{aligned} $$ on the line. The results are used to solve quasilinear parabolic and elliptic problems on the line.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Dec 1, 2006

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