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Mathematical Analyis 

Mathematical Analysis Research Area

Scientific Sectors

  • SSD: MAT/05 Mathematical Analysis.
  • ERC: PE1_6 Topology, PE1_8 Analysis, PE1_9 Operator algebras and functional analysis, PE1_10 ODE and dynamical systems, PE1_11 Theoretical aspects of partial differential equations, PE1_19 Control theory and optimisation, PE1_20 Application of mathematics in sciences, PE6_11 Machine learning, statistical data processing and applications using signal processingPE7_7 Signal processing.

Research Topics

  • Analysis of minimal surfaces, mean curvature flows, and harmonic maps.
  • Asymptotic analysis and Γ-convergence theory.
  • Free boundary problems.
  • Shape optimization and spectral theory.

  • Boundary value problems in ordinary differential equations.
  • Complex solutions in Celestial Mechanics, Hamiltonian partial differential equations, and the N-body problem.
  • Global geometrical and topological properties of partial differential equations.
  • Pattern formation in reaction-diffusion systems, phase separation, and optimal partition problems.
  • Perturbative aspects of nonlinear differential problems.
  • Well-posedness of the Cauchy problem for hyperbolic systems.

  • Analysis on manifolds. 
  • Fourier analysis and signal processing.
  • Microlocal analysis for linear and nonlinear operators.
  • Pseudo-differential operators, Fourier integral operators, and spectral analysis.
  • Time-frequency analysis, localisation operators, and uncertainty principles.

Research Groups


Last update: 15/11/2023 10:53
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