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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 5, Pages 1159–1177 (Mi smj2266)  
On estimates for the Besov norms of solutions to 3D subelliptic equations

N. N. Romanovskiĭ

Sobolev Institute of Mathematics, Novosibirsk, Russia
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Abstract: We consider a class of linear subelliptic equations for functions of three variables. We obtain estimates, similar to the Schauder estimates, for the Besov norms of the derivatives of weak solutions to the equations under consideration with coefficients in suitable Besov spaces.
Keywords: subelliptic equation, Heisenberg group, Besov space, Schauder estimates, singular integral operator, embedding theorem.
Received: 21.05.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 5, Pages 921–936
DOI: https://doi.org/10.1134/S003744661105017X
Bibliographic databases:
Document Type: Article
UDC: 517.518.23+517.956.22+517.956.226
Language: Russian
Citation: N. N. Romanovskiǐ, “On estimates for the Besov norms of solutions to 3D subelliptic equations”, Sibirsk. Mat. Zh., 52:5 (2011), 1159–1177; Siberian Math. J., 52:5 (2011), 921–936
Citation in format AMSBIB
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