Friedrichs' extension lemma with boundary values and applications in complex analysis

DOI10.1080/17476931003728388zbMath1250.32035arXiv0803.0092OpenAlexW2105763618WikidataQ124823061 ScholiaQ124823061MaRDI QIDQ3013904

Jean Ruppenthal

Publication date: 19 July 2011

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

Full work available at URL: https://arxiv.org/abs/0803.0092

zbMATH Keywords

Cauchy-Riemann operatorweak boundary valuesgeneralized Stokes' formulae

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) General first-order partial differential equations and systems of first-order partial differential equations (35F99)

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Cites Work

• The \(\overline\partial\)-equation on a positive current
• The \(L_ 2-{\bar \partial}\)-cohomology of an algebraic surface
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Pure Hodge structure on the L2 -cohomology of varieties with isolated singularities
• Local boundary conditions for dissipative symmetric linear differential operators
• Boundary values of integral operators
• The Cauchy integral for differential forms
• Weak and strong extensions of differential operators