Explicit Variational Forms for the Inverses of Integral Logarithmic Operators Over an Interval

DOI10.1137/100806771zbMath1255.45008OpenAlexW1977491158MaRDI QIDQ3165290

Carlos Jerez-Hanckes, Jean-Claude Nédélec

Publication date: 26 October 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100806771

zbMATH Keywords

Laplace equationboundary integral equationsCalderón projectorsintegral logarithmic equationsopen surface problemsweakly singular and hypersingular operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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