Papers:

Se incluyen los artículos correspondientes a GFTIPFD y algunos mas recientes:



Daniel Faraco, André Guerra: A short proof of Ornstein's non-inequality in \(\mathbb{R}^{2×2}\) arXiv

Víctor Arnaiz, Ángel Castro, Daniel Faraco: Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime arXiv

Daniel Faraco, Sauli Lindberg, László Székelyhidi Jr: Bounded solutions of ideal MHD with compact support in space-time arXiv

Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski: Improved Hölder regularity for strongly elliptic PDEs arXiv

Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro, Mikko Salo: Limiting Carleman weights and conformally transversally anisotropic manifolds arXiv

Daniel Faraco, Sauli Lindberg: Proof of Taylor's conjecture on magnetic helicity conservation arXiv, Commun. Math. Phys.

Pablo Blanc, Fernando Charro, Juan J. Manfredi, Julio D. Rossi: A Nonlinear Mean Value Property for Monge-Ampère arXiv

Diego Alonso-Orán: Asymptotic shallow models arising in magnetohydrodynamics arXiv

Lauri Hitruhin, Sauli Lindberg: The lamination convex hull of stationary IPM arXiv

Alberto Dayan: Zeros of Normalized Sections of Non Convergent Power Series arXiv

Jorge Tejero: Reconstruction of rough potentials in the plane arXiv

Pablo Angulo, Daniel Faraco, Luis Guijarro and Mikko Salo: Limiting Carleman weights and conformally transversally anisotropic manifolds arXiv

Duvan Henao, Carlos Mora-Corral and Marcos Oliva: Global invertibility of Sobolev maps arXiv

Daniel Faraco and Sauli Lindberg: Proof of Taylor's conjecture on magnetic helicity conservation arXiv

Pablo Angulo, Daniel Faraco and Carlos García-Gutiérrez: Exact computation of the 2+1 convex hull of a finite set arXiv

Ángel Castro, Daniel Faraco and Francisco Mengual: Degraded mixing solutions for the Muskat problem arXiv

Daniel Faraco and Sauli Lindberg: Magnetic helicity and subsolutions in ideal MHD arXiv

Evgeny Lakshtanov, Jorge Tejero and Boris Vainberg: Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane arXiv

José C. Bellido and Carlos Mora-Corral: Lower semicontinuity and relaxation via Young measures for nonlocal variational problems and applications to peridynamics Preprint

Carlos Mora-Corral and Magdalena Strugaru: Necking in 2D incompressible polyconvex materials: theoretical framework and numerical simulations Preprint

Duvan Henao, Carlos Mora-Corral and Xianmin Xu: A numerical study of void coalescence and fracture in nonlinear elasticity Preprint, Comput. Methods Appl. Mech. Engrg.

Stanislav Hencl and Carlos Mora-Corral: Diffeomorphic approximation of continuous almost everywhere injective Sobolev deformations in the plane Preprint, Quart. J. Math.

José C. Bellido, Carlos Mora-Corral and Pablo Pedregal: Hyperelasticity as a \( \Gamma \)-limit of Peridynamics when the horizon goes to zero Preprint, Calc. Var.

Duvan Henao and Carlos Mora-Corral: Regularity of inverses of Sobolev deformations with finite surface energy Preprint, J. Funct. Anal.

Daniel Faraco and Martí Prats: Characterization for stability in planar conductivities arXiv (to appear in J. Differential Equations)

Jorge Tejero: Reconstruction and stability for piecewise smooth potentials in the plane arXiv (to appear in SIMA)

Gen Nakamura and Marcos Oliva: Exponential decay of solutions to initial boundary value problem for anisotropic visco-elastic systems Rend. Istit. Mat. Univ. Trieste

Marcos Oliva and Martí Prats: Sharp bounds for composition with quasiconformal mappings in Sobolev spaces arXiv, JMAA

Sauli Lindberg: On the Hardy space theory of compensated compactness quantities arXiv, Arch. Rational Mech. Anal.

Marcos Oliva: Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates arXiv, Calc. Var.

Martí Prats: Beltrami equations in the plane and Sobolev regularity arXiv(to appear in Commun. Pur. Appl. Anal.)

Ángel Castro, Diego Córdoba and Daniel Faraco: Mixing solutions for the Muskat problem arXiv

Pablo Angulo, Daniel Faraco and Luis Guijarro: Sufficient conditions for the existence of limiting Carleman weights arXiv, Forum of mathematics - Sigma, Sage (section 5), Sage (section 6), Sage (section 7)

Daniel Faraco, Carlos Mora-Corral and Marcos Oliva: Sobolev homeomorphisms with gradients of low rank via laminates Preprint, Adv. Calc. Var.

Kari Astala, Albert Clop, Diego Faraco, Jarmo Jääskeläinen and Aleksis Koski: Nonlinear Beltrami Operators, Schauder Estimates And Bounds For The Jacobian Preprint, Ann. I. H. Poincare (C)

Marco Barchiesi, Duvan Henao and Carlos Mora-Corral: Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity Preprint, Arch. Rational Mech. Anal.

Pablo Angulo: Linking curves, sutured manifolds and the Ambrose conjecture for generic 3-manifolds arXiv, DCDS

Pablo Angulo: On the set of metrics without local limiting Carleman weights arXiv, Inverse Problems and Imaging

Kari Astala, Albert Clop, Daniel Faraco and Jarmo Jääskeläinen: Manifolds of quasiconformal mappings and the nonlinear Beltrami equation arXiv

Pablo Angulo, Daniel Faraco, Luis Guijarro and Alberto Ruiz: Obstructions to the existence of limiting Carleman weights arXiv, APDE

Kari Astala, Daniel Faraco and Keith M. Rogers: On Plancherel's identity for a two-dimensional scattering transform Preprint, Nonlinearity

Duvan Henao, Carlos Mora-Corral and Xianmin Xu: \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity Preprint, Arch. Rational Mech. Anal

Angel Castro and David Lannes: Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water wave problem with vorticity arXiv, Indiana Univ. Math. J.

Angel Castro, Diego Córdoba, Charles Fefferman and Francisco Gancedo: Splash singularities for the one-phase Muskat problem in stables regimes arXiv, Arch. Rational Mech. Anal.

Angel Castro, Diego Córdoba, Javier Gómez-Serrano and Alberto Martín-Zamora: Remarks on geometric properties of SQG sharp fonts and \(\alpha\)-patches arXiv (to appear in DCDS).

Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo and Javier Gómez-Serrano: Structural Stability for the splash singularities of the water waves problem arXiv (to appear in DCDS)

Kari Astala, Daniel Faraco and Keith M. Rogers: Recovery of the Dirichlet-to-Neumann map from scattering data in the plane Preprint (to appear in Kokyuroku Bessatsu)

Daniel Faraco, Yaroslav Kurylev and Alberto Ruiz: G-Convergence, Dirichlet to Neumann maps and invisibility arXiv, J. Funct. Anal.

Kari Astala, Daniel Faraco and Keith M. Rogers: Unbounded Potential Recovery in the Plane Preprint (to appear in Annales scientifiques de l’École Normale Supérieure)

J.A. Barceló, Daniel Faraco, Alberto Ruiz and Ana Vargas: Reconstruction of Discontinuities from Backscattering Data in Two Dimensions preprint, SIAM J. Math. Anal.

Carlos Mora-Corral and Aldo Pratelli: Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms J. Geom. Anal.

José C. Bellido and Carlos Mora-Corral: Existence for Nonlocal Variational Problems in Peridynamics Preprint, SIAM J. Math. Anal.

Carlos Mora-Corral: Quasistatic Evolution of Cavities in Nonlinear Elasticity Preprint, SIAM J. Math. Anal.