Browsing by Author "Ros Oton, Xavier"
Now showing items 120 of 21

02. Habitatge i Ciutat : Housing & City
Ros Oton, Xavier (201410)
Audiovisual
Open Access 
Barcelona 60's. bofill  bonet  coderch
Ros Oton, Xavier; Roel, Pablo; Bajet Mena, Pau Genis (20181024)
Audiovisual
Open Access 
Existence of periodic solutions with nonconstant sign in a class of generalized abel equations
Olm Miras, Josep Maria; Ros Oton, Xavier (201304)
Article
Open AccessThis article provides sufficient conditions for the existence of periodic solutions with nonconstant sign in a family of polynomial, nonautonomous, firrstorder diferential equations that arise as a generalization of the ... 
Fractional Laplacian: Pohozaev identity and nonexistence results
Ros Oton, Xavier; Serra Montolí, Joaquim (Elsevier, 201205)
Article
Restricted access  publisher's policyIn 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 (20191121)
Audiovisual
Open AccessFree 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, ... 
Integrodifferential equations : regularity theory and Pohozaev identities
Ros Oton, Xavier (Universitat Politècnica de Catalunya, 20140619)
Doctoral thesis
Open AccessThe main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integrodifferential equations, (II) stable solutions to reactiondiffusion problems, and (III) weighted isoperimetric and ... 
Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians
Ros Oton, Xavier; Serra Montolí, Joaquim (20150501)
Article
Restricted access  publisher's policyWe 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 reactiondiffusion PDEs, Sobolev inequalities, and monomial weights
Ros Oton, Xavier (Universitat Politècnica de Catalunya, 201107)
Master thesis
Restricted access  author's decisionReactiondiffusion 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 (20150102)
Article
Open AccessWe 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 simulationoptimization techniques in traffic simulation
Ros Oton, Xavier; Montero Mercadé, Lídia; Barceló Bugeda, Jaime (Elsevier, 2017)
Conference report
Open AccessMathematical 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
MartínezSeara Alonso, M. Teresa; Ros Oton, Xavier; Olm Miras, Josep Maria (201102)
External research report
Open AccessThe 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; MartínezSeara Alonso, M. Teresa (201109)
Article
Open AccessThe 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 (20170815)
Article
Open AccessWe 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 (20180411)
Audiovisual
Open AccessFree 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 (20191121)
Audiovisual
Open Access 
Sobolev and isoperimetric inequalities with monomial weights
Cabré Vilagut, Xavier; Ros Oton, Xavier (2013)
Article
Restricted access  publisher's policyWe consider the monomial weight x1A1⋯xnAn 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 inversionbased robust tracking control in DCDC nonlinear switched converters
Olm Miras, Josep Maria; Ros Oton, Xavier; Shtessel, Yuri (20091212)
Conference lecture
Open AccessThis article studies the robust tracking control problem in nonminimum phase DCDC nonlinear switched power converters. The proposed procedure introduces a stable inversionbased iterative technique that, taking advantage ... 
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
Cabré Vilagut, Xavier; Figalli, Alessio; Ros Oton, Xavier; Serra, Joaquim (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 ... 
The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
Ros Oton, Xavier; Serra Montolí, Joaquim (201403)
Article
Restricted access  publisher's policyWe 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 (20140701)
Article
Restricted access  publisher's policyWe 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 ...