Recent Submissions

  • Bilinear Spherical Maximal Functions of Product Type 

    Roncal, L.Autoridad BCAM; Shrivastava, S.; Shuin, K. (2021-08-12)
    In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered ...
  • Variation bounds for spherical averages 

    Beltran, D.; Oberlin, R.; Roncal, L.Autoridad BCAM; Stovall, B.; Seeger, A. (2021-06-22)
    We consider variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates
  • On a probabilistic model for martensitic avalanches incorporating mechanical compatibility 

    Della Porta, F.; Rüland, A.; Taylor, J.M.Autoridad BCAM; Zillinger, C. (2021-07-01)
    Building on the work by Ball et al (2015 MATEC Web of Conf. 33 02008), Cesana and Hambly (2018 A probabilistic model for interfaces in a martensitic phase transition arXiv:1810.04380), Torrents et al (2017 Phys. Rev. E 95 ...
  • Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol 

    Eceizabarrena, D.; Ponce Vanegas, F.Autoridad BCAM (2021-08-24)
    We study the problem of pointwise convergence for equations of the type $i\hbar\partial_tu + P(D)u = 0$, where the symbol $P$ is real, homogeneous and non-singular. We prove that for initial data $f\in H^s(\mathbb{R}^n)$ ...
  • A comparison principle for vector valued minimizers of semilinear elliptic energy, with application to dead cores 

    Smyrnelis, P.A.Autoridad BCAM (2021)
    We establish a comparison principle providing accurate upper bounds for the modulus of vector valued minimizers of an energy functional, associated when the potential is smooth, to elliptic gradient systems. Our assumptions ...
  • Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics 

    Deng, Y.; Zillinger, C. (2021-07-30)
    In this article we show that the Euler equations, when linearized around a low frequency perturbation to Couette flow, exhibit norm inflation in Gevrey-type spaces as time tends to infinity. Thus, echo chains are shown to ...
  • Leaky Cell Model of Hard Spheres 

    Fai, Tomas G.; Virga, Epifanio G.; Zheng, Xiaoyu; Palffy-Muhoray, Peter (9-03-20)
    We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms of the accessible free volume, i.e., the volume of space that a sphere can explore without ...
  • Double layered solutions to the extended Fisher–Kolmogorov P.D.E. 

    Smyrnelis, P. (2021-06-22)
    We construct double layered solutions to the extended Fisher–Kolmogorov P.D.E., under the assumption that the set of minimal heteroclinics of the corresponding O.D.E. satisfies a separation condition. The aim of our work ...
  • RESTRICTED TESTING FOR POSITIVE OPERATORS 

    Hytönen, T.; Li, K.; Sawyer, E. (2020)
    We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant D>1, depending only on the dimension n, such that the two weight norm inequality ...
  • Static and Dynamical, Fractional Uncertainty Principles 

    Kumar, S.; Ponce-Vanegas, F.; Vega, L.Autoridad BCAM (2021-03)
    We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principle for fractional weights and use it to get ...
  • Extensions of the John-Nirenberg theorem and applications 

    Canto, J.; Pérez, C. (2021)
    The John–Nirenberg theorem states that functions of bounded mean oscillation are exponentially integrable. In this article we give two extensions of this theorem. The first one relates the dyadic maximal function to the ...
  • Convergence over fractals for the Schrödinger equation 

    Luca, R.; Ponce-Vanegas, F. (2021-01)
    We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to their initial data almost everywhere with ...
  • Multilinear operator-valued calderón-zygmund theory 

    Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (2020)
    We develop a general theory of multilinear singular integrals with operator- valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness ...
  • Invariant measures for the dnls equation 

    Lucà, R.Autoridad BCAM (2020-10-02)
    We describe invariant measures associated to the integrals of motion of the periodic derivative nonlinear Schr\"odinger equation (DNLS) constructed in \cite{MR3518561, Genovese2018}. The construction works for small $L^2$ ...
  • End-point estimates, extrapolation for multilinear muckenhoupt classes, and applications 

    Li, K.; Martell, J.M.; Martikainen, H.; Ombrosi, S.; Vuorinen, E. (2019)
    In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so-called multilinear Muckenhoupt classes. ...
  • Magnetic domain-twin boundary interactions in Ni-Mn-Ga 

    Veligatla, M.; Garcia-Cervera, C.J.; Müllner, P. (2020-04)
    The stress required for the propagation of twin boundaries in a sample with fine twins increases monotonically with ongoing deformation. In contrast, for samples with a single twin boundary, the stress exhibits a plateau ...
  • Sensitivity of twin boundary movement to sample orientation and magnetic field direction in Ni-Mn-Ga 

    Veligatla, M.; Titsch, C.; Drossel, W.-G.; Garcia-Cervera, C.J.; Müllner, P. (2019)
    When applying a magnetic field parallel or perpendicular to the long edge of a parallelepiped Ni- Mn-Ga stick, twin boundaries move instantaneously or gradullay through the sample. We evaluate the sample shape dependence ...
  • Generalized Poincaré-Sobolev inequalities 

    Martínez-Perales, J. (2020-12)
    Poincaré-Sobolev inequalities are very powerful tools in mathematical analysis which have been extensively used for the study of differential equations and their validity is intimately related with the geometry of the ...
  • Sparse and weighted estimates for generalized Hörmander operators and commutators 

    Ibañez-Firnkorn, G.H.; Rivera-Ríos, I.P. (2019)
    In this paper a pointwise sparse domination for generalized Ho ̈rmander and also for iterated commutators with those operators is provided generalizing the sparse domination result in [24]. Relying upon that sparse domination ...
  • The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory. 

    Canevari, G.; Harris, J.; Majumdar, A.; Wang, Y. (2019)
    We study nematic equilibria on three-dimensional square wells, with emphasis on Well Order Reconstruction Solu- tions (WORS) as a function of the well size, characterized by λ, and the well height denoted by ε. The WORS ...

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