Continuity properties of Neumann-to-Dirichlet maps with respect to the $H$-convergence of the coefficient matrices

Article, Preprint English OPEN
Rondi, Luca;
(2014)
  • Related identifiers: doi: 10.1088/0266-5611/31/4/045002
  • Subject: Primary 49J45, Secondary 35R30 | Mathematics - Analysis of PDEs | Settore MAT/05 - Analisi Matematica | H-convergence; G-convergence; inverse conductivity problem

We investigate the continuity of boundary operators, such as the Neumann-to-Dirichlet map, with respect to the coefficient matrices of the underlying elliptic equations. We show that for nonsmooth coefficients the correct notion of convergence is the one provided by $H$... View more
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