Faculty

• José Miguel Urbano

  jmurb@mat.uc.pt

• 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