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This paper deals with the L theory of linear elliptic partial differential equations with bounded measurable coefficients. We construct in two dimensions examples of weak and so-called very weak… (More)

- Tomeu Barceló, Daniel Faraco, Alberto Ruiz
- 2006

We consider a bounded domain Ω in C with connected complement. A well known problem that A.P. Calderón proposed was the determination of an isotropic L∞ conductivity coefficient γ on Ω from boundary… (More)

- Francisco Diniz Affonso da Costa, Iseu de Santo Elias Affonso da Costa, +4 authors Daniel Faraco
- The Annals of thoracic surgery
- 1996

BACKGROUND
It has been well documented that the use of the internal thoracic artery yields better long-term patency rates than saphenous vein grafts for coronary artery bypass grafting. This… (More)

In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Székelyhidi we prove nonuniqueness for solutions in L∞ in space and time.

This paper investigates the self-improving integrability properties of the so-called mappings of finite distortion. Let K(x) ≥ 1 be a measurable function defined on a domain Ω ⊂ R, n ≥ 2, and such… (More)

The derivation of counterexamples to L1 estimates can be reduced to a geometric decomposition procedure along rank-one lines in matrix space. We illustrate this concept in two concrete applications.… (More)

A new approach to counterexamples to A new approach to counterexamples to L The derivation of counterexamples to L 1 estimates can be reduced to a geometric decomposition procedure along rank-one… (More)

- Daniel Faraco
- 2006

We give a concrete and surprisingly simple characterization of compact sets K ⊂ R2×2 for which families of approximate solutions to the inclusion problem Du ∈ K are compact. In particular our… (More)

- Francisco Diniz Affonso da Costa, Carlos Roberto Ribeiro de Moraes, +7 authors Iseu de Santo Elias Affonso da Costa
- European journal of cardio-thoracic surgery…
- 1989

This report summarizes the surgical experience and early results obtained at four surgical centers in the northeast and south of Brazil. From December 1977 to September 1986, 95 operations were… (More)

We consider Calderón’s inverse problem on planar domains Ω with conductivities in fractional Sobolev spaces. When Ω is Lipschitz, the problem was shown to be stable in the L–sense in [18]. We remove… (More)