Now showing items 1-20 of 159

    • A Mean-field model for spin dynamics in multilayered ferromagnetic media 

      Chen J.; Garcia-Cervera C.J.; Yang X. (Multiscale Modeling and Simulation, 2015-12-31)
      In this paper, we develop a mean-field model for describing the dynamics of spintransfer torque in multilayered ferromagnetic media. Specifically, we use the techniques of Wigner transform and moment closure to connect the ...
    • $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

      Pérez C.; Rivera-Ríos I.P.; Roncal L. (2016-07-01)
      Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
    • $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

      Pérez C.; Rivera-Ríos I.; Roncal L. (Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V, 2019)
      Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
    • Absence of eigenvalues of two-dimensional magnetic Schr ̈odinger operators 

      Fanelli L.; Krejcirik D.; Vega L. (2017-10-17)
      By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schr ̈odinger operator possesses no point ...
    • Absence of eigenvalues of two-dimensional magnetic Schroedinger operators 

      Fanelli L.; Krejcirik D.; Vega L. (2018-01-01)
      By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point ...
    • An atomistic/continuum coupling method using enriched bases 

      Chen J.; Garcia-Cervera C.J.; Li X. (Multiscale Modeling and Simulation, 2015-12-31)
      A common observation from an atomistic to continuum coupling method is that the error is often generated and concentrated near the interface, where the two models are combined. In this paper, a new method is proposed to ...
    • An Isoperimetric-Type Inequality for Electrostatic Shell Interactions for Dirac Operators 

      Arrizabalaga N.; Mas A.; Vega L. (Communications in Mathematical Physics, 2016-06-01)
      In this article we investigate spectral properties of the coupling $H + V_{\lambda}$, where $H =-i\alpha \cdot \nabla + m\beta$ is the free Dirac operator in $\mathbb{R}^3$, $m>0$ and $V_{\lambda}$ is an electrostatic shell ...
    • Análisis de Fourier en el toro infinito-dimensional 

      Fernández E. (2019-10-24)
      Se presentan algunos resultados originales de análisis armónico para funciones definidas en el toro infinito, que es el grupo topológico compacto consistente en el producto cartesiano de una familia numerable de toros ...
    • Asymptotic behaviour for fractional diffusion-convection equations 

      Ignat L.I.; Stan D. (2017-10)
      We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropy solution of the convective ...
    • Asymptotic behaviour of neuron population models structured by elapsed-time 

      Cañizo J.A.; Yoldas H. (Nonlinearity, 2019-01-04)
      We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman et al (2010 Nonlinearity 23 55–75) and Pakdaman et al (2014 J. Math. Neurosci. 4 1–26). In the first model, the ...
    • Asymptotic behaviour of some nonlocal equations in mathematical biology and kinetic theory 

      Havva Yoldaş (2019-09)
      We study the long-time behaviour of solutions to some partial differential equations arising in modeling of several biological and physical phenomena. In this work, the type of the equations we consider is mainly nonlocal, ...
    • Asymptotic models for free boundary flow in porous media 

      Granero-Belinchon R.; Scrobogna S. (Physica D, 2019)
      We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to ...
    • Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 

      Correia S.; Côte R.; Vega L. (2018-07-06)
      We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted $W^{1,\infty}$ around a carefully chosen, two term ansatz. ...
    • Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 

      Correia S.; Côte R.; Vega L. (2018-07-06)
      We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted W1,8 around a carefully chosen, two term ansatz. Such knowledge ...
    • Bilinear Calderón--Zygmund theory on product spaces 

      Li K.; Martikainen H.; Vuorinen E. (Journal des Math\'ematiques Pures et Appliqu\'ees, 2019-10)
      We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes general Calder\'on--Zygmund type principles in the bilinear bi-parameter setting: easier bounds, like estimates in the Banach ...
    • Bilinear identities involving the $k$-plane transform and Fourier extension operators 

      Beltran D.; Vega L. (2019)
      We prove certain $L^2(\mathbb{R}^n)$ bilinear estimates for Fourier extension operators associated to spheres and hyperboloids under the action of the $k$-plane transform. As the estimates are $L^2$-based, they follow from ...
    • Bilinear identities involving the k-plane transform and Fourier extension operators 

      Beltran D.; Vega L. (2019-11-30)
      We prove certain L2pRnq bilinear estimates for Fourier extension operators associ- ated to spheres and hyperboloids under the action of the k-plane transform. As the estimates are L2-based, they follow from bilinear ...
    • Bilinear representation theorem 

      Li K.; Martikainen H.; Ou Y.; Vuorinen E. (Transactions of the American Mathematical Society, 2018-01-01)
      We represent a general bilinear Calderón--Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ...
    • A Bilinear Strategy for Calderón's Problem 

      Ponce-Vanegas F. (2019-08)
      Electrical Impedance Imaging would suffer a serious obstruction if for two different conductivities the potential and current measured at the boundary were the same. The Calder\'on's problem is to decide whether the ...
    • A Bilinear Strategy for Calderón’s Problem 

      Ponce Vanegas F. (Revista Matemática Iberoamericana, 2020-05)
      Electrical Impedance Imaging would suffer a serious obstruction if two different conductivities yielded the same measurements of potential and current at the boundary. The Calderón’s problem is to decide whether the ...