Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Generic uniqueness and size estimates in the inverse conductivity problem with one measurement
Get PDFInverse boundary value problems are those in which one wants to determine physical parameters associated to the interior of a certain body, or region, from measurements taken from the exterior
Unilateral problems with degenerate coercivity
Get PDFIn this note we prove some existence and regularity results for unilateral problems with degenerate coercivity
On the numerical calculation of Hadamard finite-part integrals
Get PDFIn this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense. We partition the original interval of integration and then integrate over the subintervals by using suitably modified low-order Gaussian-type quadratures. Convergence is shown under suitable assumptions and numerical evidence supports the theoretical findings
A finite element approximation and uniform error estimates for degenerate elliptic equations
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Il problema di Stefan: regolarità della frontiera libera
Get PDFWe describe recent results on the regularity for the Stefan problem obtained in a joint work with I. Athanasopoulos and L. Caffarelli
Hölder continuity for second order non variational parabolic systems
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Risultati di simmetrizzazione per soluzioni di disequazioni variazionali
Get PDFWe compare the concentration of the solution of elliptic variational inequalities by the concentration of the solution of suitable symmetrized problems