Dr Gianluca Mola

Meet our Research Faculty

Dr Gianluca Mola Dr Gianluca Mola
Assistant Professor of Mathematics
Sciences and Engineering
Sorbonne University Abu Dhabi

Research Interests

  • The main topic where my research interests are collocated are the Partial Differential equations (PDEs) of evolution. In this general framework, I have been studying problems raising in two different areas: inverse problems of identification and dynamical systems. Both of these areas require a deep knowledge of recent developments on real and functional analysis, as well as possible extensions of the classic PDEs techniques.

PhD in

  • Mathematical Engineering

Research Collaborations Visiting Positions

  • April - May 2015: visiting fellow at Tokyo University of Science (Japan)
  • April - May 2014: visiting fellow at Tokyo University of Science (Japan)
  • 2013-2014: direction of GNAMPA research group Problemi di identificazione di coefficienti in equazioni paraboliche lineari
  • January - February 2013: visiting fellow at the Institut Henry Poincaré, Paris (France), as a member of the RIP project Identification of time-dependent constant in linear parabolic equations
  • January - February 2012: visiting fellow at University of Osaka (Japan)


  • Cesena, 25-28 June 2019 Functional Analytic Methods for PDEs
  • Milano, 13-16 September 2016 SIMAI national congress
  • Parma, 6-10 July 2015 New advances in PDE’s, Inverse Problems and Control Theory
  • Bologna, 15-19 September 2014 PDE’s, Control Theory and Inverse Problems
  • Knoxville (TN, USA), 21-23 March 2014 Southeastern Spring Sectional Meeting of the American Mathematical Society
  • Cortona, 17-21 June 2013 Differential Equations, Inverse Problems and Control Theory
  • Marseille (France), 5 February 2013 CMI, sminaire LATP (seminar)
  • Bologna, 16-20 July 2012 PDE’s, Inverse Problems and Control Theory
  • Moskow (Russia)-PFUR, 22-27 August, 2011 8th ISAAC congress
  • Bologna, 1-4 September, 2010 PDEs, Semigroup Theory and Inverse Problems
  • Rio de Janeiro (Brazil), 24-27 August, 2010 IX Workshop on Partial Differential Equations
  • London (UK)-Imperial College, 9-11 July, 2009 7th ISAAC congress
  • Brescia, 9-11 July 2009 Mathematical models and analytic problems for special materials
  • Taranto, 28 June-3 July, 2009 Evolution equations and mathematical models in the applied sciences
  • Cortona, 22-26 September, 2008 Direct, inverse and control problems for PDEs
  • Kumamoto (Japan), 11 August, 2007 Kumamoto workshop on Nonlinear Evolution Equations, in honor of prof. I. Tanabe on the occasion of his 80th birthday
  • Fukuoka (Japan), 7 August, 2007 Joint Symposium of Real Analysis and Functional Analysis organised by Mathematical Society of Japan
  • Levico Terme, 14-16 September, 2006 Recent advances in free boundary problems and related topics
  • Salò, 13-15 July, 2006 Modelli matematici e problemi analitici per materiali speciali
  • Poitiers (France), 25-28 June, 2006 AIMS ’06
  • Montecatini, 29-30 September, 2005 Modellizzazione Matematica ed analisi dei problemi a frontiera libera
  • Cortona, 20-24 June, 2005 Inverse and direct problems
  • Rimini, 17-19 March, 2005 DIPEE 2005-Direct and inverse problems in evolution equations
  • Salò, 3-5 July, 2003 Materiali speciali e memorie: problemi modellistici e analitici

Publications Journal Articles

  • G. M. Recovering a large number of diffusion constants in a parabolic equation from energy measurements, Inverse Problems and Imaging 12, No. 3, pp.527 – 543 (2018)
  • S. Azizi, G. M. & A. Yagi Longtime convergence for epitaxial growth model under Dirichlet conditions, Osaka University Mathematical Journal 54, pp. 691–708 (2017)
  • G. M., N. Okazawa & T. Yokota Reconstruction of two constant coefficients in linear anisotropic diffusion model, Inverse Problems 32, No.11 (2016)
  • G. M., N. Okazawa, J. Prüss & T. Yokota Semigroup-theoretic approach to identification of linear diffusion coefficients, Discrete and Continuous Dynamical Systems - Series S 9, No.3, pp.777 – 790 (2016)
  • G. M. Recovering the Reaction Coefficient in a Linear Parabolic Equation, Chapter 17 in New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer (2014)
  • A. Lorenzi & G. M. Recovering the reaction and the diffusion coefficients in a linear parabolic equation, Inverse Problems 28, No.7 (2012)
  • G. M. Identification of the diffusion coefficient in linear evolution equations in Hilbert spaces, Journal of Abstract Evolution Equations and Applications 2, No.1, pp.14-28 (2011)
  • A. Lorenzi & G. M. Identification of a real constant in linear evolution equations in Hilbert spaces, Inverse Problems and Imaging 5, No. 3 (2011)
  • M. Grasselli, G. M. & A. Yagi On the longtime behavior of solutions to a model for epitaxial growth, Osaka University Mathematical Journal 48, No.4 (2011)
  • A. Lorenzi & G. M. Identification of unknown terms in convolution integro-differential equations in a Banach space, Journal of Inverse and Ill-posed Problems 18, No.3, pp.321-355 (2010)
  • G. M. Stability of global and exponential attractors for a three-dimensional conserved phase-field system with memory, Mathematical Methods in the Applied Sciences 32, No.18, pp.2368 - 2404 (2009)
  • E. Mainini & G. M. Exponential and polynomial stability for a first order linear Volterra evolution equation, Quarterly of Applied Mathematics 67, No.1, pp.93-111 (2009)
  • G. M. & A. Yagi A forest model with memory, Funkcialaj Ekvacioj 52, No.1, pp.19-40 (2009)
  • M. Conti & G. M. 3-D viscous Cahn-Hilliard equation with memory, Mathematical Methods in the Applied Sciences 32, No.11, pp.1370-1395 (2009)
  • J. Cholewa, R. Czaja & G. M. Remarks on fractal dimension of bi-spaces global and exponential attractors, Bollettino dell’Unione Matematica Italiana 1, No.9, pp.121-145 (2008)
  • G. M. Convergence to equilibria for a three-dimensional conserved phase-field system with memory, Electronic Journal of Differential Equations, No.23, pp.1-16 (2008)
  • G. M. Global attractors for a three-dimensional conserved phase-field system with memory, Communications on Pure and Applied Analysis 7, No.2, pp.317-353 (2008)
  • M. Conti & G. M. Attractors for a phase field model on R3, Advances in Mathematical Sciences and Applications 15, No.2, pp.527-543 (2005)