Antonio Agresti

Welcome to my webpage!

I am a postdoctoral researcher at the Institute of Science and Technology Austria (ISTA) in the group of Professor Julian Fischer.

My research interests lie at the interface of probability, partial differential equations (PDEs) and functional analysis. I have mainly worked on stochastic PDEs of parabolic type arising from fluid-dynamic problems.

I have obtained my PhD at the Department of Mathematics at Sapienza University of Rome, under the supervision of Professor Mark Veraar (Technology University of Delft).

Contact: antonio.agresti@ist.ac.at

ArXiv • Orcid: 0000-0002-9573-2962

Preprints

  1. with M. Hieber, A. Hussein and M. Saal, The stochastic primitive equations with transport noise and turbulent pressure.
  2. with A. Hussein, Maximal Lp-regularity and H-calculus for block operator matrices and applications.
  3. with M. Veraar, Stochastic Navier-Stokes equations for turbulent flows in critical spaces.
  4. with M. Veraar, Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions.
  5. with N. Lindemulder and M. Veraar, On the trace embedding and its applications to evolution equations.

Publications

  1. with M. Veraar, Nonlinear parabolic stochastic evolution equations in critical spaces Part II. Blow-up criteria and instantaneous regularization, to appear in Journal of Evolution equations.
  2. with M. Veraar, Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence, to appear in Nonlinearity.
  3. with P. Loreti and D. Sforza, Time Memory Effect in Entropy Decay of Ornstein-Uhlenbeck Operators, Minimax Theory and its Applications 6 (2021), no. 2, 173–190.
  4. with M. Veraar, Stability properties of stochastic maximal Lp-regularity, Journal of Mathematical Analysis and Applications 482 (2020), no. 2, 123553, 35 pp.
  5. with D. Andreucci and P. Loreti, Alternating and variable controls for the wave equation, Control, Optimisation and Calculus of Variations (ESAIM:COCV) 26 (2020), Paper No. 38, 35 pp. 
  6. with D. Andreucci and P. Loreti, Variable Support Control for the Wave Equation: A Multiplier Approach, ICINCO 2018—Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics.