EDP - Equacions en Derivades Parcials i Aplicacions: Recent submissions

Now showing items 1-12 of 79

    • Quintessential inflation for exponential type potentials: scaling and tracker behavior 

      Aresté Saló, Llibert; Haro Cases, Jaume (springer-Verlag, 2021-02)
      Article
      Open Access
      We will show that for exponential type potentials of the form V(f)~e-¿fn/Mnpl, which are used to depict quintessential inflation, the solutions whose initial conditions take place during the slow roll phase in order to ...

    • Calibrations and null-Lagrangians for nonlocal perimeters and an application to the viscosity theory 

      Cabré Vilagut, Xavier (2020-02-04)
      Article
      Restricted access - confidentiality agreement
      For nonnegative even kernels K, we consider the K-nonlocal perimeter functional acting on sets. Assuming the existence of a foliation of space made of solutions of the associated K-nonlocal mean curvature equation in an ...

    • Self-adjoint Dirac operators on domains in R-3 

      Holzmann, Markus; Mas Blesa, Albert (2020-06-20)
      Article
      Restricted access - publisher's policy
      In this paper, the spectral and scattering properties of a family of self-adjoint Dirac operators in L2(O;C4), where O¿R3 is either a bounded or an unbounded domain with a compact C2-smooth boundary, are studied in a ...

    • Stable solutions to semilinear elliptic equations are smooth up to dimension 9 

      Cabré Vilagut, Xavier; Figalli, Alessio; Ros Oton, Xavier; Serra, Joaquim (2020-01-01)
      Article
      Open Access
      In this paper we prove the following long-standing conjecture: stable solutions to semi-linear elliptic equations are bounded (and thus smooth) in dimension n¿9. This result, that was only known to be true for n¿4 , is ...

    • Matter Bounce Scenario in F(T) gravity 

      Haro Cases, Jaume; Amorós Torrent, Jaume (2016)
      Article
      Open Access
      It is shown that teleparallel F(T) theories of gravity combined with holonomy corrected Loop Quantum Cosmology (LQC) support a Matter Bounce Scenario (MBS) which is a potential alternative to the inflationary paradigm. The ...

    • Viability of the Matter Bounce Scenario 

      Haro Cases, Jaume; Amorós Torrent, Jaume (Institute of Physics (IOP), 2015)
      Article
      Open Access
      It is shown that teleparallel F(T) theories of gravity combined with Loop Quantum Cosmology support a Matter Bounce Scenario which is an alternative to the inflation scenario in the Big Bang paradigm. It is checked that ...

    • Note on the reheating temperature in Starobinsky-type potentials 

      Haro Cases, Jaume; Aresté Saló, Llibert (Springer Nature, 2020-12)
      Article
      Open Access
      The relation between the reheating temperature, the number of e-folds and the spectral index is shown for the Starobinsky model and some of its descendants through a very detailed calculation of these three quantities. The ...

    • The spectrum of gravitational waves, their overproduction in quintessential inflation and its influence in the reheating temperature 

      Haro Cases, Jaume; Aresté Saló, Llibert (2020-06-01)
      Article
      Open Access
      One of the most important issues in an inflationary theory as standard or quintessential inflation is the mechanism to reheat the universe after the end of the inflationary period in order to match with the Hot Big Bang ...

    • Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds 

      Pan, Supriya; Haro Cases, Jaume; Yang, Weiqiang; Amorós Torrent, Jaume (American Physical Society (APS), 2020-06-15)
      Article
      Open Access
      Nongravitational interaction between dark matter and dark energy has been considered in a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe. The interaction rate is assumed to be linear in the energy ...

    • Scaling solutions in quintessential inflation 

      Haro Cases, Jaume; Amorós Torrent, Jaume; Pan, Supriya (springer-Verlag, 2020-05)
      Article
      Open Access
      In quintessence scalar field theories, the presence of scaling solutions are important during the radiation and matter epoch due to having their attractor character. Usually, it is assumed that the initial conditions of ...

    • Shell interactions for Dirac operators: on the point spectrum and the confinement 

      Arrizabalaga, Naiara; Mas Blesa, Albert; Vega, Luis (2015-03-10)
      Article
      Open Access
      Spectral properties and the confinement phenomenon for the couplingH+Varestudied, whereH=-ia·¿+mßis the free Dirac operator inR3andVis a measure-valuedpotential. The potentialsVunder consideration are given in terms of ...

    • A new proof of the boundedness results for stable solutions to semilinear elliptic equations 

      Cabré Vilagut, Xavier (American Institute of Mathematical Sciences, 2019-12-01)
      Article
      Open Access
      We consider the class of stable solutions to semilinear equations -¿u=f(u) in a bounded smooth domain of Rn. Since 2010 an interior a priori L8 bound for stable solutions is known to hold in dimensions n=4 for all C1 ...