Boundary Problems for Harmonic Functions and Norm Estimates for Inverses of Singular Integrals in Two Dimensions

DOI10.1080/01630560500431076zbMath1088.45001OpenAlexW2139616697MaRDI QIDQ3377963

Irina Mitrea

Publication date: 29 March 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560500431076

zbMATH Keywords

Mellin transformDirichlet problemHilbert transforminvertibilityNeumann problemLipschitz domainsCalderon-Zygmund theorycurvilinear polygonstransmission boundary value problemsboundary layer potential operators in two dimensionsconvolution operators generated by Hardy kernelstangential derivative problemupper and lower bounds for the norms of inverses of singular integrals

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Proceedings, conferences, collections, etc. pertaining to integral equations (45-06) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

One problem of the Navier type for the Stokes system in planar domains ⋮ Singular Integral Operators on C 1 Manifolds and C 1 Curvilinear Polygons

Cites Work

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