Search Results - "Silvestre, Luis"

Regularity of the obstacle problem for a fractional power of the laplace operator by Silvestre, Luis

“…Given a function φ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: u ≥ φ in ℝn, (−▵)su ≥ 0 in ℝn, (−▵)su(x) = 0 for those x such…”
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Uniqueness of Radial Solutions for the Fractional Laplacian by Frank, Rupert L., Lenzmann, Enno, Silvestre, Luis

“…We prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian (−Δ)s with s ∊ (0,1) for any…”
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Regularity theory for fully nonlinear integro-differential equations by Caffarelli, Luis, Silvestre, Luis

“…We consider nonlinear integro‐differential equations like the ones that arise from stochastic control problems with purely jump Lévy processes. We obtain a…”
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On a transport equation with nonlocal drift by Silvestre, Luis, Vicol, Vlad

“…In 2005, Córdoba, Córdoba, and Fontelos proved that for some initial data, the following nonlocal-drift variant of the 1D Burgers equation does not have global…”
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The Evans-Krylov theorem for nonlocal fully nonlinear equations by Caffarelli, Luis, Silvestre, Luis

“…We prove a regularity result for solutions of a purely integro-differential Bellman equation. This regularity is enough for the solutions to be understood in…”
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Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian by Caffarelli, Luis A., Salsa, Sandro, Silvestre, Luis

“…We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle…”
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Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian by Silvestre, Luis, Snelson, Stanley

“…The purpose of this paper is to show how the combination of the well-known results for convergence to equilibrium and conditional regularity, in addition to a…”
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Hölder gradient estimates for a class of singular or degenerate parabolic equations by Imbert, Cyril, Jin, Tianling, Silvestre, Luis

“…We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic equation where and . This…”
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The Dirichlet problem for the convex envelope by OBERMAN, ADAM M., SILVESTRE, LUIS

“…The convex envelope of a given function was recently characterized as the solution of a fully nonlinear partial differential equation (PDE). In this article we…”
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Plasmapheresis for the Treatment of Acute Pancreatitis due to Severe Hypertriglyceridemia by Ruiz-Rodríguez, Juan Carlos, Chiscano-Camón, Luis Silvestre, Palmada, Clara, Pons, Verónica, Ferrer, Ricard

“…Severe hypertriglyceridemia (HTG) is associated with acute pancreatitis (AP). Treatment options include total plasma exchange (TPE). We report a case of AP due…”
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Partial regularity of solutions of fully nonlinear, uniformly elliptic equations by Armstrong, Scott N., Silvestre, Luis E., Smart, Charles K.

“…We prove that a viscosity solution of a uniformly elliptic, fully nonlinear equation is C2,α on the complement of a closed set of Hausdorff dimension at most ϵ…”
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A characterization of optimal two-phase multifunctional composite designs by Silvestre, Luis

“…We study the problem of optimal design of a two-phase composite material to maximize the sum of thermal and electrical conductivity. We obtain a…”
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Clinical study of complications of a peripherally inserted central catheter in cancer patients by Bonfim, André Luis Victor, Brito, Germana Alves, Baptista, Aline Lourenço, Andrade, Luis André Silvestre, Imanishe, Marina Harume, Pereira, Benedito Jorge

“…Aim To evaluate complications after PICC use in cancer patients. Design This was a clinical and retrospective study in which the risk factors and complications…”
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A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off by Silvestre, Luis

“…We apply recent results on regularity for general integro-differential equations to derive a priori estimates in Hölder spaces for the space homogeneous…”
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The influence of acute kidney disease on the clinical outcomes of patients who received cisplatin, carboplatin, and oxaliplatin by Fernandes, Alexandre Ricardo Da Silva, de Brito, Germana Alves, Baptista, Aline Lourenço, Andrade, Luis André Silvestre, Imanishe, Marina Harume, Pereira, Benedito Jorge

“…Background and Aims Cisplatin (CDDP) is used as the first line of treatment for some tumors, but its use may be restricted due to its nephrotoxicity…”
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The evolution of management of type B aortic dissection in a series of 100 consecutive cases in a tertiary center by Lopes, Alice, Mendes Pedro, Luís, Gouveia e Melo, Ryan, Moutinho, Mariana, Sobrinho, Gonçalo, Amorim, Pedro, Silvestre, Luís, Fernandes e Fernandes, Ruy, Ministro, Augusto, Martins, Carlos, Gomes Almeida, Ana, Nobre, Ângelo, Pinto, Fausto, Fernandes e Fernandes, José

“…Management of aortic dissection is rapidly evolving. The present study aims to assess paradigm shifts in type B aortic dissection (TBAD) treatment modalities…”
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Upper bounds for parabolic equations and the Landau equation by Silvestre, Luis

“…We consider a parabolic equation in nondivergence form, defined in the full space [0,∞)×Rd, with a power nonlinearity as the right-hand side. We obtain an…”
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Nephrotic syndrome associated with metastatic melanoma: a case report by Bienes, Fabiana Almeida Antonio, Brito, Germana Alves, Alves, Joubert Araujo, Baptista, Aline Lourenco, Andrade, Luis André Silvestre, Imanishe, Marina Harume, Pereira, Benedito Jorge

“…Nephrotic syndrome (NS) may occur after or concomitantly with malignancy. The use of immunosuppressive approaches in patients with cancer and NS is…”
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Density Functional Theory and UPLC/MS/ESI+ studies of the zwitterionic surfactant-Na+ pair formation by Nieto-Alvarez, David-Aaron, Martínez-Magadán, José-Manuel, Cerón-Camacho, Ricardo, Servín-Nájera, Ana-Graciela, Cisneros-Dévora, Rodolfo, Zamudio-Rivera, Luis-Silvestre

“…The formation in solution of supramolecular complexes type zwitterion-cation have been shown. The industrial grade zwitterion surfactants cocamidopropyl…”
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Full regularity of a free boundary problem with two phases by Jiang, Huiqiang, Larsen, Christopher J., Silvestre, Luis

“…Let Ω be a bounded domain in . We use to denote the collection of all pairs of ( A , u ) such that is a set of finite perimeter and satisfies We consider the…”
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