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  • Optimal scalar products in the Moore-Gibson-Thompson equation 

    Pellicer, Marta; Solà-Morales Rubió, Joan de (2019-03-01)
    Article
    Accés obert
    We study the third order in time linear dissipative wave equation known as the Moore-Gibson-Thompson equation, that appears as the linearization of a the Jordan-Moore-Gibson-Thompson equation, an important model in nonlinear ...

  • Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions 

    Cabré Vilagut, Xavier; Poggesi, Giorgio (2018-01-01)
    Article
    Accés restringit per política de l'editorial
    These notes record the lectures for the CIME Summer Course taught by the first author in Cetraro during the week of June 19–23, 2017. The notes contain the proofs of several results on the classification of stable solutions ...

  • Qualitative study in loop quantum cosmology 

    Aresté Saló, Llibert; Amorós Torrent, Jaume; Haro Cases, Jaume (2017-12-07)
    Article
    Accés restringit per política de l'editorial
    This work contains a detailed qualitative analysis, in general relativity and in loop quantum cosmology, of the dynamics in the associated phase space of a scalar field minimally coupled with gravity, whose potential mimics ...

  • Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay 

    Cabré Vilagut, Xavier; Fall, Mouhamed Moustapha; Solà-Morales Rubió, Joan de (2018-12-01)
    Article
    Accés restringit per política de l'editorial
    We are concerned with hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional perimeter under a volume constraint. Our results are ...

  • Reheating in quintessential inflation via gravitational production of heavy massive particles: a detailed analysis 

    Haro Cases, Jaume; Yang, Weiqiang; Pan, Supriya (2019-01-01)
    Article
    Accés obert
    An improved version of the well-known Peebles-Vilenkin model unifying early inflationary era to current cosmic acceleration, is introduced in order to match with the theoretical values of the spectral quantities provided ...

  • Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems 

    Cabré Vilagut, Xavier; Delshams Valdés, Amadeu; Gidea, Marian; Zeng, Chongchun (American Institute of Mathematical Sciences, 2018-12-01)
    Article
    Accés restringit per política de l'editorial
    We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete ...

  • The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis 

    Haro Cases, Jaume (Springer, 2018-11-01)
    Article
    Accés obert
    The Dapor-Liegener model of loop quantum cosmology (LQC), which depicts an emergent universe from a de Sitter regime in the contracting phase is studied from the mathematical viewpoint of dynamical systems and compared ...

  • Cosmological perturbations in a class of fully covariant modified theories: application to models with the same background as standard LQC 

    Haro Cases, Jaume; Aresté Saló, Llibert; Elizalde, Emilio (Springer, 2018-09-01)
    Article
    Accés obert
    Bouncing cosmologies are obtained by adding to the Einstein–Hilbert action a term of the form -g---vf(¿), with ¿ a scalar depending on the Hubble parameter only, not on its derivatives, and which is here shown to arise ...

  • Note on bouncing backgrounds 

    Haro Cases, Jaume; Pan, Supriya (American Physical Society (APS), 2018-05-15)
    Article
    Accés obert
    The theory of inflation is one of the fundamental and revolutionary developments of modern cosmology that became able to explain many issues of the early Universe in the context of the standard cosmological model (SCM). ...

  • Viable inflationary evolution from Einstein frame loop quantum cosmology 

    Haro Cases, Jaume; Odintsov, Sergei D.; Oikonomou, V. K. (American Physical Society (APS), 2018-04-27)
    Article
    Accés obert
    In this work we construct a bottom-up reconstruction technique for loop quantum cosmology scalar-tensor theories, from the observational indices. Particularly, the reconstruction technique is based on fixing the functional ...

  • Bulk viscous quintessential inflation 

    Haro Cases, Jaume; Pan, Supriya (2018-04-01)
    Article
    Accés obert
    In a spatially-flat Friedmann–Lemaître–Robertson–Walker universe, the incorporation of bulk viscous process in general relativity leads to an appearance of a nonsingular background of the universe that both at early and ...

  • Antisymmetry of solutions for some weighted elliptic problems 

    Cabré Vilagut, Xavier; Lucia, Marcello; Sanchón, Manel; Villegas, Salvador (2018-03-17)
    Article
    Accés obert
    This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous ...

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