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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 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

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.

UDC: 517.518.23+517.956.22+517.956.226

Received: 21.05.2010


 English version:
Siberian Mathematical Journal, 2011, 52:5, 921–936

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© Steklov Math. Inst. of RAS, 2024