• José Miguel Urbano

  • Research Area

    Nonlinear Partial Differential Equations

  • Institution

    University of Coimbra

  • PhD

    Institution: University of Lisbon
    Year: 1999

  • Main research publications

    • Fully nonlinear integro-differential equations with deforming kernels (with L.A. Caffarelli and R. Teymurazyan) , Comm. Partial Differential Equations to appear (2020)
    • A proof of the C^{p'}-regularity conjecture in the plane (with D. Araújo and E.V. Teixeira) , Adv. Math. 316 (2017)
    • Regularity for anisotropic fully nonlinear integro-differential equations (with L.A. Caffarelli and R. Leitão) , Math. Ann. 360 (2014)
    • Entropy solutions for the p(x)-Laplace equation (with M. Sanchón) , Trans. Amer. Math. Soc. 361 (2009)
    • The Method of Intrinsic Scaling , Lecture Notes in Mathematics, Vol. 1930 , Springer, 2008
      ISBN: 978-3-540-75931
  • PhD Students

    • Anderson Maia Sharp regularity for nonlinear evolution equations 2018
    • Maria Astudillo Asymptotic limits for the doubly nonlinear equation 2014
    • Rojbin Laeoglu Regularity for the singular Trudinger's equation 2012
    • Eurica Henriques Regularity theory for some nonlinear PDEs 2005
  • Adittional information

    [2000-] Member of the Steering Committee of the Gulbenkian Program Novos Talentos em Matemática 

    [2013-2020] Member of the editorial board of Nonlinear Analysis: Theory, Methods & Applications 

    [2013-2016] Member of the Scientific Council for the Exact Sciences and Engineering of FCT 

    [2012-2015] Member of the National Council for Science and Technology (CNCT) 

    [2007-2011] Director of the Centre for Mathematics of the University of Coimbra (CMUC)

    [2006-2008] Vice-President of the Portuguese Mathematical Society (SPM)

    [2004-2008] Member of the Executive Board of the International Centre for Mathematics (CIM - member of ERCOM)

Research and Events


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Defended Theses

  • Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
      André da Cruz Carvalho (April 2023)
      Pedro V. Silva
  • A point-free study of z-embeddings, more general classes of localic maps, and uniform continuity
      Ana Belén Avilez García (April 2023)
      Jorge Picado
  • Analysis of equations of motion of inextensible strings and networks
      Ayk Telciyan (April 2023)
      Dmitry Vorotnikov
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