AGAPI Research Group (CSIC-UAM-UPM)

J. A. Barceló; C. Castro; T. Luque; M. C. Vilela : A new convergent algorithm to approximate potentials from fixed angle scattering data.

SIAM J. Appl. Math. 78 (2018), no. 5, 2714–2736. SIAM

Corrigendum: SIAM J. Appl. Math. 79 (2019), no. 6, 2688–2691. SIAM
J. A. Barceló; M. Folch-Gabayet; S. Pérez-Esteva; A. Ruiz; M. C. Vilela : Uniqueness for inverse elastic medium problems.

SIAM J. Math. Anal. 50 (2018), no. 4, 3939–3962. SIAM
C. Bellido; C. Mora-Corral : Lower semicontinuity and relaxation via Young measures for nonlocal variational problems and applications to peridynamics.

SIAM J. Math. Anal. 50 (2018), 779–809. SIAM
P. Caro; K. M. Rogers : Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane.

Journées Équations aux Dérivées Partielles, Cedram, Exp. No. 7, 2018, 1–9. JEDP
C. Castro; L. de Teresa : A null controllability result for the linear system of thermoelastic plates with one single control.

Evolution Equations long time behavior and control, London Mathematical Society Lecture Notes Series 439, 2018, 77–89. LMS
Q. Deng; F. García-Galaz; L. Guijarro; M. Munn : Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature.

Potential Anal. 48 (2018), no. 2, 223–238. PA
D. Faraco; C. Mora-Corral; M. Oliva : Sobolev homeomorphisms with gradients of low rank via laminates.

Adv. Calc. Var. 11 (2018), 111–138. ACV
D. Faraco; M. Prats : Characterization for stability for planar conductivities.

J. Differential Equations 265 (2018), no. 9, 5659–5712. JDE
D. González-Álvaro; M. Radeschi : A note on the Petersen–Wilhelm conjecture.

Proc. Amer. Math. Soc. 146 (2018), no. 10, 4447–4458. PAMS
L. Guijarro; F. Wilhelm : Focal radius, rigidity and lower curvature bounds.

Proc. London Math. Soc. 116 (2018), no. 6, 1519–1552. PLMS
N. H. Katz; K. M. Rogers : On the polynomial Wolff axioms.

Geom. Funct. Anal. 28 (2018), 1706–1716. GAFA
M. Kruzík; C. Mora-Corral; U. Stefanelli : Quasistatic elastoplasticity via peridynamics: existence and localization.

Contin. Mech. Thermodyn. 30 (2018), 1155–1184. CMT
F. Macià; G. Rivière : Two-microlocal regularity of quasimodes on the torus.

Anal. PDE 11 (2018), no. 8, 2111–2136. APDE
C. J. Meroño : Fixed angle scattering: recovery of singularities and its limitations.

SIAM J. Math. Anal. 50 (2018), no. 5, 5616–5636. SIAM
J. Ramos : A trilinear restriction estimate with sharp dependence on transversality.

Amer. J. Math. 140 (2018), 1443–1469. AJM
J. Ramos : Nonlinear profile decomposition for the H^{1/2}×H^{-1/2} energy subcritical wave equation.

J. Funct. Anal. 275 (2018), 2614–2646. JFA

2019

K. Ammari; C. Castro : Numerical approximation of the best decay rate for some dissipative systems.

SIAM J. Num. Anal. 57 (2019), no. 2, 681–701. SIAM
K. Astala; A. Clop; D. Faraco; J. Jääskeläinen : Manifolds of quasiconformal mappings and the nonlinear Beltrami equation.

J. Anal. Math. 139 (2019), 207–238. JAM
A. Castro; D. Faraco; F. Mengual : Degraded mixing solutions for the Muskat problem.

Calc. Var. Partial Differential Equations 58 (2019), no. 2, Art. 58, 29 pp. CVPDE
V. Chabu; C. Fermanian-Kammerer; F. Macià : Semiclassical analysis of dispersion phenomena.

Springer Proc. Math. Stat. 275 (2019), 84–108. SPMS
L. Guijarro; J. Santos-Rodríguez : On the isometry group of RCD*(K,N) spaces.

Manuscripta Math. 158 (2019), no. 3–4, 441–461. MM
J. Hickman; F. Linares; O. Riaño; K. M. Rogers; J. Wright : On a higher dimensional version of the Benjamin-Ono equation.

SIAM J. Math. Anal. 51 (2019), 4544–4569. SIAM
J. Hickman; K. M. Rogers : Improved Fourier restriction estimates in higher dimensions.

Camb. J. Math. 7 (2019), 219–282. CJM
R. Lucà; K. M. Rogers : Average decay for the Fourier transform of measures with applications.

J. Eur. Math. Soc. 21 (2019), 465–506. JEMS
R. Lucà; K. M. Rogers : A note on pointwise convergence for the Schrödinger equation.

Math. Proc. Camb. Phil. Soc. 166 (2019), 209–218. PCPS
F. Macià; G. Rivière : Observability and quantum limits for the Schrödinger equation on S^d.

Contemp. Math. 739 (2019), 139–153. CM
C. J. Meroño : Recovery of the singularities of a potential from backscattering data in general dimension.

J. Differential Equations 266 (2019), no. 10, 6307–6345. JDE
C. Mora-Corral; M. Oliva : Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers.

ESAIM Control Optim. Calc. Var. 25 (2019), Art. 19, 27 pp. ESAIM
J. Tejero : Reconstruction of rough potentials in the plane.

Inverse Probl. Imaging 13 (2019), 863–878. IPI

2020

V. Arnaiz : Spectral stability and semiclassical measures for renormalized KAM systems.

Nonlinearity 33 (2020), no. 6, 2562–2591. NL
D. Faraco; S. Linberg : Proof of the Taylor conjecture in magnetic helicity conservation.

Comm. Math. Phys. 373 (2020), 707–738. CMP
J. Ge; L. Guijarro; P. Solórzano : Riemannian rigidity of the parallel postulate in total curvature.

Math. Ann. 376 (2020), no. 1, 177–185. MA
T. Luque; M. C. Vilela : Reproducing kernel for elastic Herglotz functions.

Rev. Mat. Complutense 33 (2020), 495–525. RMC
P. Angulo-Ardoy; D. Faraco; L. Guijarro; M. Salo Limiting Carleman weights and conformally transversally anisotropic manifolds

Trans. Amer. Math. Soc. 373 (7) (2020) 5171--5197.
V. Arnaiz; G. Rivière Semiclassical asymptotics for nonselfadjoint harmonic oscillators.

Pure Appl. Anal. 2 (2) (2020) 427--445.
K.Astala; A.Clop; D.Faraco; J.Jääskeläinen; A.Koski. Improved Hölder regularity for strongly elliptic PDEs.

J. Math. Pures Appl. (9) 140 (2020) 230--258.
J.A. Barceló; C. Castro; T. Luque; C.J. Meroño; A. Ruiz; M.C. Vilela Uniqueness for the inverse fixed angle scattering problem.

J. Inverse and Ill-Posed Problems 28 (4) (2020).
J.A. Barceló; T. Luque; S. Pérez-Esteva Characterization of Sobolev spaces on the sphere.

J. Math. Anal. Appl. 491 (1) (2020) 23 pp.
J. C. Bellido; J. Cueto; C. Mora-Corral Fractional Piola identity and polyconvexity in fractional spaces.

Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), 955–981.
J. C. Bellido; J. Cueto; C. Mora-Corral Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero.

J. Elasticity 141 (2020), 273–289.
P. Caro; C. J. Meroño The observational limit of wave packets with noisy measurements.

SIAM J. Math. Anal. 52 (2020), 5196--5212.
V. Chabu; C. Fermanian-Kammerer; F. Macià Wigner measures and effective mass theorems.

Ann. H. Lebesgue 3 (2020) 1049--1089.
F. Galaz-García; L. Guijarro; J. Nuñez-Zimbrón Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric

Indiana Univ. Math. J. 69 (3) (2020) 977--1005.
F. Galaz-García; L. Guijarro; J. Nuñez-Zimbrón Collapsed three-dimensional Alexandrov spaces: a brief survey

Differential Geometry in the Large, edited by O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner, and D. Crowley, London Mathematical Society Lecture Note Series, vol 463, pp. 291-310.
M.Á. García-Ferrero; A. Rüland On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators.

Commun. Part. Diff. Eq. 45:11 (2020) 1512-1560.
D. González-Álvaro; M. Zibrowius Open manifolds with non-homeomorphic positively curved souls.

Math. Proc. Cambridge Philos. Soc. 169 (2) (2020) 357--376.
L. Guijarro; F. Wilhelm Restrictions on submanifolds via focal radius bounds

Mathematical Research Letters (27) (1) (2020) 115--139.
F. Macià; P.E. Merino-Alonso; A. Souto-Iglesias On the numerical solution to the truncated discrete SPH formulation of the hydrostatic problem.

Journal of Hydrodynamics 32 (2020) 699-709.
C. J. Meroño; L. Potenciano-Machado; M. Salo Resolvent estimates for the magnetic Schrödinger operator in dimensions $\geq 2$.

Rev. Mat. Complut. 33 (2020), 619-641.
C. Mora-Corral; A. Tellini Relaxation of a scalar nonlocal variational problem with a double-well potential.

Calc. Var. Partial Differential Equations 59 (2020), Paper No. 67, 30 pp.
G. Negro A sharp Lorentz-invariant Strichartz norm expansion for the cubic wave equation in R^{1+3}.

Q. J. Math. 71 (2) (2020) 451--483.
O. Sanchez; S. Bromberg; V. A. Cruz. Hilbert transform is an isometry: A simple proof via real rational functions.

Quaestiones Mathematicae
J. Santos-Rodríguez Invariant measures and lower Ricci curvature bounds.

Potential Anal. 53 (3) (2020) 871--897.

2021

A, Castro; D, Cordoba; D. Faraco. Mixing solutions for the Muskat problem.

Invent. Math. 226 (1) (2021) 251--348.

M. Abdelli; C. Castro Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation.

ESAIM COCV 27 (2021).

V. Arnaiz; A. Castro Singularity formation for the fractional Euler-alignment system in 1D.

Trans. Amer. Math. Soc. 374 (1) (2021) 487--514.

V. Arnaiz; A. Castro; D.Faraco. Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime.

Comm. Partial Differential Equations 46 (1) (2021) 135--164.

J.A. Barceló; C. Castro Numerical approximation of the scattering amplitude in elasticity.

SEMA Journal (2021).

Barceló, J., Folch-Gabayet, M., Luque, T., Pérez-Esteva, S., Vilela, M. The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation.

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 151(6) (2021), 1768-1789.

J. C. Bellido; J. Cueto; C. Mora-Corral Γ-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts.

Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 7, 29 pp.

A. Cantón, J. L. Fernández; P. Fernández; V. Maciá Khinchin families and Hayman class.

Comput. Methods Funct. Theory, (21) (2021), 851--904.

C. Castro; A. Munch Singular asymptotic expansion of the exact control for the perturbed wave equation.

Asymptotic Analysis 122 (1-2) (2021), 1--33.

A. Dayan, J. L. Fernández; M. J. González Hausdorff measures, Dyadic approximations and Dobinski set.

Illinois J. Math. (65) 2 (2021), 515—531.

A. Dessai; D. González-Álvaro Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces.

Trans. Amer. Math. Soc. 374 (1) (2021) 1--33.

D.Faraco, S.Lindberg; L. Székelyhidi Jr. Bounded solutions of ideal MHD with compact support in space-time.

Arch. Ration. Mech. Anal. 239 (1) (2021) 51--93.

J. L. Fernández; P. Fernández Divisibility properties of random samples of integers.

Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, Vol. 115, 26 (2021).

J. Gonzalo; A. Portilla; J. M. Rodríguez; E. Tourís A decomposition for plane domains with the quasihyperbolic metric.

Journal of Mathematical Analysis and Applications (502) (1) 125227.

D. Henao; C. Mora-Corral; M. Oliva Global invertibility of Sobolev maps.

Adv. Calc. Var. 14 (2021), 207–230.

F. Macià Observability results related to fractional Schrödinger operators.

Vietnam J. Math. 49 (3) (2021) 919--936.

F. Macià; P.E. Merino-Alonso; A. Souto-Iglesias On the truncated integral SPH solution of the hydrostatic problem.

Computational Particle Mechanics 8 (2021) 325--336.

C. J. Meroño The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials.

Rev. Mat. Iberoam. 37 (2021), 1175--1205.

C. J. Meroño; L. Potenciano-Machado; M. Salo The fixed angle scattering problem with a first-order perturbation.

Ann. Henri Poincaré 22 (2021), 3699--3746.

R. Ortigosa; J. Martínez-Frutos; C. Mora-Corral; P. Pedregal; F. Periago Optimal control of soft materials using a Hausdorff distance functional.

SIAM J. Control Optim. 59 (2021), 393–416.

2022

V. Arnaiz; F. Macià Localization and delocalization of eigenmodes of harmonic oscillators

Proc. Amer. Math. Soc. 150 (5) (2022)

J.A. Barceló; B. Cassano; L. Fanelli Mass propagation for electromagnetic Schrödinger evolutions.

Nonlinear Anal. 217 (2022), 14 pp.

P. Caro; C. J. Meroño; I. Parissis Rotational smoothing.

J. Differential Equations 306 (2022), 101--151.

D.Faraco; S.Lindberg; D.MacTaggart; A.Valli. On the proof of Taylor's conjecture in multiply connected domains.

Appl. Math. Lett. 124 (2022), Paper No. 107654, 7 pp.

M.Á. García-Ferrero; A. Rüland; W. Zatoń Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation.

Inverse Probl. Imaging 16:1 (2022) 251–281.

D. González-Álvaro; M. Zibrowius The stable converse soul question for positively curved homogeneous spaces.

J. Differential Geom. 119 (2) (2021) 261--307.

F. Mengual; L. Székelyhidi Jr. Dissipative Euler flows for vortex sheet initial data without distinguished sign

Comm. Pure Appl. Math.

R. Ortigosa; J. Martínez-Frutos; C. Mora-Corral; P. Pedregal; F. Periago Optimal control and design of magnetic field-responsive smart polymer composites.

Appl. Math. Model.103 (2022), 141–161.

To appear

V. Arnaiz Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets.

J. Spectr. Theory

Á. Castro; D. Faraco; F. Mengual Localized mixing zone for Muskat bubbles and turned interfaces.

Ann. PDE.

L. Guijarro; F. Wilhelm A softer connectivity principle

Communications in Analysis and Geometry.

J. Hickman; K. M. Rogers; R. Zhang Improved bounds for the Kakeya maximal conjecture in higher dimensions.

Amer. J. Math.

F. Mengual H-principle for the 2D incompressible porous media equation with viscosity jump

Anal. PDE

G. Negro A sharpened Strichartz inequality for the wave equation.

Ann. Sci. École Norm. Sup.

O. Sanchez. Steady-state solutions for the Muskat problem

Collectanea Mathematica

AGAPI Research Group (CSIC-UAM-UPM)

Articles

2018

J. A. Barceló; C. Castro; T. Luque; M. C. Vilela : A new convergent algorithm to approximate potentials from fixed angle scattering data.

J. A. Barceló; M. Folch-Gabayet; S. Pérez-Esteva; A. Ruiz; M. C. Vilela : Uniqueness for inverse elastic medium problems.

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

P. Caro; K. M. Rogers : Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane.

C. Castro; L. de Teresa : A null controllability result for the linear system of thermoelastic plates with one single control.

Q. Deng; F. García-Galaz; L. Guijarro; M. Munn : Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature.

D. Faraco; C. Mora-Corral; M. Oliva : Sobolev homeomorphisms with gradients of low rank via laminates.

D. Faraco; M. Prats : Characterization for stability for planar conductivities.

D. González-Álvaro; M. Radeschi : A note on the Petersen–Wilhelm conjecture.

L. Guijarro; F. Wilhelm : Focal radius, rigidity and lower curvature bounds.

N. H. Katz; K. M. Rogers : On the polynomial Wolff axioms.

M. Kruzík; C. Mora-Corral; U. Stefanelli : Quasistatic elastoplasticity via peridynamics: existence and localization.

F. Macià; G. Rivière : Two-microlocal regularity of quasimodes on the torus.

C. J. Meroño : Fixed angle scattering: recovery of singularities and its limitations.

J. Ramos : A trilinear restriction estimate with sharp dependence on transversality.

J. Ramos : Nonlinear profile decomposition for the H^{1/2}×H^{-1/2} energy subcritical wave equation.

2019

K. Ammari; C. Castro : Numerical approximation of the best decay rate for some dissipative systems.

K. Astala; A. Clop; D. Faraco; J. Jääskeläinen : Manifolds of quasiconformal mappings and the nonlinear Beltrami equation.

A. Castro; D. Faraco; F. Mengual : Degraded mixing solutions for the Muskat problem.

V. Chabu; C. Fermanian-Kammerer; F. Macià : Semiclassical analysis of dispersion phenomena.

L. Guijarro; J. Santos-Rodríguez : On the isometry group of RCD*(K,N) spaces.

J. Hickman; F. Linares; O. Riaño; K. M. Rogers; J. Wright : On a higher dimensional version of the Benjamin-Ono equation.

J. Hickman; K. M. Rogers : Improved Fourier restriction estimates in higher dimensions.

R. Lucà; K. M. Rogers : Average decay for the Fourier transform of measures with applications.

R. Lucà; K. M. Rogers : A note on pointwise convergence for the Schrödinger equation.

F. Macià; G. Rivière : Observability and quantum limits for the Schrödinger equation on S^d.

C. J. Meroño : Recovery of the singularities of a potential from backscattering data in general dimension.

C. Mora-Corral; M. Oliva : Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers.

J. Tejero : Reconstruction of rough potentials in the plane.

2020

V. Arnaiz : Spectral stability and semiclassical measures for renormalized KAM systems.

D. Faraco; S. Linberg : Proof of the Taylor conjecture in magnetic helicity conservation.

J. Ge; L. Guijarro; P. Solórzano : Riemannian rigidity of the parallel postulate in total curvature.

T. Luque; M. C. Vilela : Reproducing kernel for elastic Herglotz functions.

P. Angulo-Ardoy; D. Faraco; L. Guijarro; M. Salo Limiting Carleman weights and conformally transversally anisotropic manifolds

V. Arnaiz; G. Rivière Semiclassical asymptotics for nonselfadjoint harmonic oscillators.

K.Astala; A.Clop; D.Faraco; J.Jääskeläinen; A.Koski. Improved Hölder regularity for strongly elliptic PDEs.

J.A. Barceló; C. Castro; T. Luque; C.J. Meroño; A. Ruiz; M.C. Vilela Uniqueness for the inverse fixed angle scattering problem.

J.A. Barceló; T. Luque; S. Pérez-Esteva Characterization of Sobolev spaces on the sphere.

J. C. Bellido; J. Cueto; C. Mora-Corral Fractional Piola identity and polyconvexity in fractional spaces.

J. C. Bellido; J. Cueto; C. Mora-Corral Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero.

P. Caro; C. J. Meroño The observational limit of wave packets with noisy measurements.

V. Chabu; C. Fermanian-Kammerer; F. Macià Wigner measures and effective mass theorems.

F. Galaz-García; L. Guijarro; J. Nuñez-Zimbrón Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric

F. Galaz-García; L. Guijarro; J. Nuñez-Zimbrón Collapsed three-dimensional Alexandrov spaces: a brief survey

M.Á. García-Ferrero; A. Rüland On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators.

D. González-Álvaro; M. Zibrowius Open manifolds with non-homeomorphic positively curved souls.

L. Guijarro; F. Wilhelm Restrictions on submanifolds via focal radius bounds

F. Macià; P.E. Merino-Alonso; A. Souto-Iglesias On the numerical solution to the truncated discrete SPH formulation of the hydrostatic problem.

C. J. Meroño; L. Potenciano-Machado; M. Salo Resolvent estimates for the magnetic Schrödinger operator in dimensions $\geq 2$.

C. Mora-Corral; A. Tellini Relaxation of a scalar nonlocal variational problem with a double-well potential.

G. Negro A sharp Lorentz-invariant Strichartz norm expansion for the cubic wave equation in R^{1+3}.

O. Sanchez; S. Bromberg; V. A. Cruz. Hilbert transform is an isometry: A simple proof via real rational functions.

J. Santos-Rodríguez Invariant measures and lower Ricci curvature bounds.