Now showing items 1-20 of 20

    • 02. Habitatge i Ciutat : Housing & City 

      Ros Oton, Xavier (2014-10)
      Audiovisual
      Open Access
    • Barcelona 60's. bofill | bonet | coderch 

      Ros Oton, Xavier; Roel, Pablo; Bajet Mena, Pau Genis (2018-10-24)
      Audiovisual
      Open Access
    • Existence of periodic solutions with nonconstant sign in a class of generalized abel equations 

      Olm Miras, Josep Maria; Ros Oton, Xavier (2013-04)
      Article
      Open Access
      This article provides sufficient conditions for the existence of periodic solutions with nonconstant sign in a family of polynomial, non-auto-nomous, firrst-order diferential equations that arise as a generalization of the ...
    • Fractional Laplacian: Pohozaev identity and nonexistence results 

      Ros Oton, Xavier; Serra Montolí, Joaquim (Elsevier, 2012-05)
      Article
      Restricted access - publisher's policy
      In this Note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities ...
    • Generic regularity in free boundary problems 

      Ros Oton, Xavier (2019-11-21)
      Audiovisual
      Open Access
      Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces or boundaries. They appear in Geometry, Physics, Probability, Biology, or Finance, and their study uses tools from PDE, ...
    • Integro-differential equations : regularity theory and Pohozaev identities 

      Ros Oton, Xavier (Universitat Politècnica de Catalunya, 2014-06-19)
      Doctoral thesis
      Open Access
      The main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integro-differential equations, (II) stable solutions to reaction-diffusion problems, and (III) weighted isoperimetric and ...
    • Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2015-05-01)
      Article
      Restricted access - publisher's policy
      We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian (-Delta)(s) with s > 1. We also obtain the Pohozaev identity for this operator. Both identities involve local boundary ...
    • Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights 

      Ros Oton, Xavier (Universitat Politècnica de Catalunya, 2011-07)
      Master thesis
      Restricted access - author's decision
      Reaction-diffusion equations play a central role in PDE theory and its applications to other sciences. They also play an important role in geometric problems: the problem of prescribing a curvature on a manifold and parabolic ...
    • Nonexistence results for nonlocal equations with critical and supercritical nonlinearities 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2015-01-02)
      Article
      Open Access
      We prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form; [GRAPHICS]; These operators are infinitesimal generators of symmetric Levy processes. Our results ...
    • Notes on using simulation-optimization techniques in traffic simulation 

      Ros Oton, Xavier; Montero Mercadé, Lídia; Barceló Bugeda, Jaime (Elsevier, 2017)
      Conference report
      Open Access
      Mathematical and simulation models of systems lay at the core of many decision support systems, and their role becomes more critical when the system is more complex. The decision process usually involves optimizing some ...
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Martínez-Seara Alonso, M. Teresa; Ros Oton, Xavier; Olm Miras, Josep Maria (2011-02)
      External research report
      Open Access
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation x 7¡æ ...
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Olm Miras, Josep Maria; Ros Oton, Xavier; Martínez-Seara Alonso, M. Teresa (2011-09)
      Article
      Open Access
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation xmaps ...
    • Pohozaev identities for anisotropic integrodifferential operators 

      Ros Oton, Xavier; Serra Montolí, Joaquim; Valdinoci, Enrico (2017-08-15)
      Article
      Open Access
      We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s¿(0,1). These identities involve local boundary terms, in which the quantity ...
    • Regularity of free boundaries in obstacle problems 

      Ros Oton, Xavier (2018-04-11)
      Audiovisual
      Open Access
      Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces or boundaries. In other words, there are two unknowns in these problems: the solution of a PDE, and a free boundary which ...
    • Round table 

      Figalli, Alessio; Vázquez, Juan Luís; Cabré Vilagut, Xavier; Serra, Joaquim; Bonforte, Matteo; Ros Oton, Xavier (2019-11-21)
      Audiovisual
      Open Access
    • Sobolev and isoperimetric inequalities with monomial weights 

      Cabré Vilagut, Xavier; Ros Oton, Xavier (2013)
      Article
      Restricted access - publisher's policy
      We consider the monomial weight |x1|A1⋯|xn|An in Rn, where Ai⩾0 is a real number for each i=1,…,n, and establish Sobolev, isoperimetric, Morrey, and Trudinger inequalities involving this weight. They are the analogue of ...
    • Stable inversion-based robust tracking control in DC-DC nonlinear switched converters 

      Olm Miras, Josep Maria; Ros Oton, Xavier; Shtessel, Yuri (2009-12-12)
      Conference lecture
      Open Access
      This article studies the robust tracking control problem in nonminimum phase DC-DC nonlinear switched power converters. The proposed procedure introduces a stable inversion-based iterative technique that, taking advantage ...
    • The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2014-03)
      Article
      Restricted access - publisher's policy
      We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional Laplacian. We prove that if u is a solution of (-d)su=g in O, u=0 in Rn\O, for some s¿(0, 1) and g¿L8(O), then u is Cs(Rn) ...
    • The extremal solution for the fractional Laplacian 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2014-07-01)
      Article
      Restricted access - publisher's policy
      We study the extremal solution for the problem (-¿)su=¿f(u) in O , u=0 in Rn\O , where ¿>0 is a parameter and s¿(0,1) . We extend some well known results for the extremal solution when the operator is the Laplacian to this ...
    • The Pohozaev identity for the fractional Laplacian 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2014-08-01)
      Article
      Open Access
      In this paper we prove the Pohozaev identity for the semilinear Dirichlet problem (-Delta)(s) u = f(u) in Omega, u equivalent to 0 in R-n\Omega. Here, s is an element of (0, 1), (-Delta)(s) is the fractional Laplacian in ...