The L2--problem on manifolds with piecewise strictly pseudoconvex boundaries

DOI10.1017/S0305004100072443zbMath0861.32009OpenAlexW2128538551MaRDI QIDQ4312723

Patrick W. Darko

Publication date: 1 December 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100072443

zbMATH Keywords

Cauchy-Riemann equationsstrictly pseudoconvex domain\(\overline\partial\) problem

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

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Cites Work

• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Harmonic integrals on strongly pseudo-convex manifolds. II
• Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries