Articles de revista: Recent submissions
Now showing items 112 of 74

Selfadjoint Dirac operators on domains in R3
(20200620)
Article
Restricted access  publisher's policyIn this paper, the spectral and scattering properties of a family of selfadjoint Dirac operators in L2(O;C4), where O¿R3 is either a bounded or an unbounded domain with a compact C2smooth boundary, are studied in a ... 
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
(20200101)
Article
Open AccessIn this paper we prove the following longstanding conjecture: stable solutions to semilinear 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
(2016)
Article
Open AccessIt 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
(Institute of Physics (IOP), 2015)
Article
Open AccessIt 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 Starobinskytype potentials
(Springer Nature, 202012)
Article
Open AccessThe relation between the reheating temperature, the number of efolds 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
(20200601)
Article
Open AccessOne 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
(American Physical Society (APS), 20200615)
Article
Open AccessNongravitational interaction between dark matter and dark energy has been considered in a spatially flat FriedmannLemaîtreRobertsonWalker (FLRW) universe. The interaction rate is assumed to be linear in the energy ... 
Scaling solutions in quintessential inflation
(springerVerlag, 202005)
Article
Open AccessIn 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
(20150310)
Article
Open AccessSpectral properties and the confinement phenomenon for the couplingH+Varestudied, whereH=ia·¿+mßis the free Dirac operator inR3andVis a measurevaluedpotential. The potentialsVunder consideration are given in terms of ... 
A new proof of the boundedness results for stable solutions to semilinear elliptic equations
(American Institute of Mathematical Sciences, 20191201)
Article
Open AccessWe 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 ... 
An example on Lyapunov stability and linearization
(20200101)
Article
Restricted access  publisher's policyThe purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinitedimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ... 
Harmonic functions on metric graphs under the antiKirchhoff law
(20190301)
Article
Open AccessWhen does an infinite metric graph allow nonconstant bounded harmonic functions under the antiKirchhoff transition law? We give a complete answer to this question in the cases where Liouville’s theorem holds, for trees, ...