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Solutions of logarithmic type for elliptic and hypoelliptic equations

Solutions of logarithmic type for elliptic and hypoelliptic equations LetP be an elliptic or hypoelliptic linear partial operator. We study the followingL1-BMO regularity problem: doesPu=f∈L1 implyu∈BMO? The related problem of the existence forP of fundamental solutions of logarithmic type is also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

Solutions of logarithmic type for elliptic and hypoelliptic equations

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Publisher
Springer Journals
Copyright
Copyright © Università degli Studi di Ferrara 1995
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/bf02825258
Publisher site
See Article on Publisher Site

Abstract

LetP be an elliptic or hypoelliptic linear partial operator. We study the followingL1-BMO regularity problem: doesPu=f∈L1 implyu∈BMO? The related problem of the existence forP of fundamental solutions of logarithmic type is also discussed.

Journal

ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals

Published: Jan 1, 1996

Keywords: Weak Solution; Fundamental Solution; Elliptic Operator; Pseudodifferential Operator; Linear Partial Differential Operator

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