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.
Solutions of logarithmic type for elliptic and hypoelliptic equations / M. Calanchi, L. Rodino, N. Minh Tri. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - 41:1(1996), pp. 111-127. [10.1007/BF02825258]
Solutions of logarithmic type for elliptic and hypoelliptic equations
M. CalanchiPrimo
;
1996
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.
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