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D-Index & Metrics

Mathematics

D-Index
43
Citations
7450
World Ranking
1698
National Ranking
45

Overview

Piermarco Cannarsa is affiliated with the University of Rome Tor Vergata in Italy and specializes in various areas within mathematics. Their research contributions span multiple subfields, including applied mathematics, computational theory and mathematics, mathematical physics, control and systems engineering, and statistical and nonlinear physics.

The scientist's work is often focused on several primary topics, such as:

  • Advanced Mathematical Modeling in Engineering
  • Stability and Controllability of Differential Equations
  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Numerical methods in inverse problems
  • Stochastic processes and financial applications
  • Mathematical Biology Tumor Growth

Piermarco Cannarsa has published extensively, with frequent contributions to venues including:

  • arXiv (Cornell University)
  • Calculus of Variations and Partial Differential Equations
  • Nonlinear Differential Equations and Applications NoDEA
  • Cineca Institutional Research Information System (Tor Vergata University)
  • Bollettino dell Unione Matematica Italiana

Several recent papers exemplify the focus areas in their research:

  • "Herglotz' variational principle and Lax-Oleinik evolution," 2020, Journal de Mathématiques Pures et Appliquées
  • "Singularities of Solutions of Hamilton-Jacobi Equations," 2021, Milan Journal of Mathematics
  • "Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control," 2022, Nonlinear Differential Equations and Applications NoDEA
  • "Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry," 2021, Publications mathématiques de l IHÉS
  • "Weak KAM Approach to First-Order Mean Field Games with State Constraints," 2021, Journal of Dynamics and Differential Equations

Collaboration is a notable aspect of Piermarco Cannarsa's scientific activity. Frequent co-authors include:

  • Wei Cheng
  • Cristina Urbani
  • Cristian Mendico
  • Paolo G. Albano
  • Fatiha Alabau-Boussouira

Their research outputs contribute to the advancement of mathematical knowledge in both theoretical and applied domains, intersecting modeling, analysis, and control of complex systems described by differential equations and related mathematical structures.

Best Publications

  • Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

    Piermarco Cannarsa;Carlo Sinestrari

  • Carleman Estimates for a Class of Degenerate Parabolic Operators

    P. Cannarsa;P. Martinez;J. Vancostenoble

  • Decay estimates for second order evolution equations with memory

    Fatiha Alabau-Boussouira;Piermarco Cannarsa;Daniela Sforza

  • Carleman estimates for degenerate parabolic operators with applications to null controllability

    F. Alabau-Boussouira;P. Cannarsa;G. Fragnelli

  • Indirect internal stabilization of weakly coupled evolution equations

    F. Alabau;P. Cannarsa;V. Komornik

  • Null controllability of degenerate heat equations

    P. Cannarsa;P. Martinez;J. Vancostenoble

  • A general method for proving sharp energy decay rates for memory-dissipative evolution equations

    Fatiha Alabau-Boussouira;Piermarco Cannarsa

  • Some characterizations of optimal trajectories in control theory

    Piermarco Cannarsa;Halina Frankowska

  • Convexity properties of the minimum time function

    Piermarco Cannarsa;Carlo Sinestrari

  • On the singularities of convex functions.

    G. Alberti;L. Ambrosio;P. Cannarsa

  • Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form

    Piermarco Cannarsa;Genni Fragnelli;Dario Rocchetti

  • Null controllability of degenerate parabolic operators with drift

    Piermarco Cannarsa;Genni Fragnelli;Dario Rocchetti

  • Null controllability of Grushin-type operators in dimension two

    Karine Beauchard;Piermarco Cannarsa;Roberto Guglielmi

  • Persistent regional null contrillability for a class of degenerate parabolic equations

    Piermarco Cannarsa;Patrick Martinez;Judith Vancostenoble

  • Global Carleman Estimates for Degenerate Parabolic Operators With Applications

    P. Cannarsa;P. Martinez;J. Vancostenoble

  • Determination of source terms in a degenerate parabolic equation

    P. Cannarsa;Jacques Tort;M. Yamamoto

  • Representation of equilibrium solutions to the table problem of growing sandpiles

    Piermarco Cannarsa;Pierre Cardaliaguet

  • PERSISTENT REGIONAL NULL CONTROLLABILITY FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS

    Piermarco Cannarsa;Patrick Martinez;Judith Vancostenoble

  • Global solutions of abstract semilinear parabolic equations with memory terms

    Piermarco Cannarsa;Daniela Sforza

  • Regional controllability of semilinear degenerate parabolic equations in bounded domains

    Piermarco Cannarsa;Genni Fragnelli;Judith Vancostenoble

  • Interior sphere property of attainable sets and time optimal control problems

    Piermarco Cannarsa;Hélène Frankowska

  • Partial Differential Equations/Optimal Control A general method for proving sharp energy decay rates for memory-dissipative evolution equations

    Fatiha Alabau-Boussouira;Piermarco Cannarsa

Frequent Co-Authors

Giuseppe Da Prato
Giuseppe Da Prato Scuola Normale Superiore di Pisa
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Vilmos Komornik
Vilmos Komornik University of Strasbourg
Marc Quincampoix
Marc Quincampoix University of Western Brittany
Alberto Bressan
Alberto Bressan Pennsylvania State University
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Roger W. Brockett
Roger W. Brockett Harvard University
Jean-Michel Coron
Jean-Michel Coron Sorbonne University

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