Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation

Laurent Baratchart (1) , Yannick Fischer (2) , Juliette Leblond (1)

1 APICS - Analysis and Problems of Inverse type in Control and Signal processing
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics

Mots clés: conjugate functions; integral equations with kernels of Cauchy type.; integral equations with kernels of Cauchy type; Hardy spaces; boundary value problems; second-order elliptic equations

Domaines: Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Laurent Baratchart, Yannick Fischer, Juliette Leblond. Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation. Complex Variables and Elliptic Equations, 2014, 41 p. ⟨10.1080/17476933.2012.755755⟩. ⟨hal-00909577⟩