Hölder estimates on higher derivatives of the solution for \(\overline \partial\)-equation with \(C^k\)-data in strongly pseudoconvex domain

DOI10.2969/jmsj/03220213zbMath0436.32014OpenAlexW2027018052MaRDI QIDQ1140755

Tetsuo Saito

Publication date: 1980

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03220213

zbMATH Keywords

strongly pseudoconvex domaindelta-Neumann problemHölder estimates on higher derivatives

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

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\(C^k\)-estimates for \(\bar{\partial}\)-equation on certain convex domains of infinite type in \(\mathbb{C}^n\) ⋮ \(C^k\)-regularity for \(\bar{\partial}\)-equations for a class of convex domains of infinite type in \(\mathbb{C}^2 \) ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\)

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