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On weighted estimates for some systems of partial differential operators. (English) Zbl 0531.35018

In this paper it is introduced and studied a class of weighted Sobolev spaces and a related notion of subellipticity that allows an extension of the Carleman method of A. Andreotti and E. Vesentini [Inst. Haut. Etud. Sci., Publ. Math. No.25, 81-130, Erratum 27, 757-758 (1965; Zbl 0138.066)] for the Dolbeault complex to more general differential complexes. Applications are given to some constant coefficients complexes.

MSC:

35G05 Linear higher-order PDEs
58J10 Differential complexes
35B45 A priori estimates in context of PDEs
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35J45 Systems of elliptic equations, general (MSC2000)
35N10 Overdetermined systems of PDEs with variable coefficients
35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs

Citations:

Zbl 0138.066
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References:

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