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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2010 Volume 51, Number 5, Pages 1061–1077 (Mi smj2146)

Local boundary value problems for Dirac type operators

I. Ly, N. N. Tarkhanov

Institute of Mathematics, University of Potsdam, Potsdam, Germany

Abstract: To each Dirac type operator there is assigned a formally exact elliptic complex of length 2. We study the Neumann problem for this complex in a bounded domain with smooth boundary in $\mathbb R^n$, as it was formulated by Spencer in 1957.

Keywords: Dirac type operator, boundary value problem, normal solvability.

UDC: 517.956.223

Received: 29.06.2009


 English version:
Siberian Mathematical Journal, 2010, 51:5, 847–859

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© Steklov Math. Inst. of RAS, 2024