On the Cauchy problem for the Dolbeault complex in spaces of distributions

DOI10.1080/17476933.2012.697459zbMath1278.35164OpenAlexW2064397893MaRDI QIDQ2862976

Dmitry Fedchenko, Alexandre A. Shlapunov

Publication date: 20 November 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.697459

zbMATH Keywords

Cauchy problemDolbeault complexCauchy-Riemann operatorHilbert space methods

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Differential complexes (58J10) Overdetermined systems of PDEs with constant coefficients (35N05) Boundary value problems for first-order elliptic systems (35J56)

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Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions, Golusin–Krylov formulas in complex analysis

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