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Mathematics

D-Index
60
Citations
12520
World Ranking
558
National Ranking
286

Overview

Roberto Triggiani is affiliated with the University of Memphis in the United States. Their research spans multiple fields including Engineering, Mathematics, and Computer Science, with notable subfields such as Control and Systems Engineering, Computational Theory and Mathematics, Mathematical Physics, Computational Mechanics, and Applied Mathematics.

Their scholarly work focuses on subjects related to stability and controllability of differential equations, advanced mathematical modeling in engineering, and advanced mathematical physics problems. Other prominent topics in their research include solutions to the Navier-Stokes equation, numerical methods in inverse problems, computational fluid dynamics and aerodynamics, and numerical methods for differential equations.

A selection of recent papers authored or co-authored by Roberto Triggiani includes:

  • "Uniform stabilization of Boussinesq systems in critical ^q-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls" (2020, Discrete and Continuous Dynamical Systems - B)
  • "The SMGT equation from the boundary: regularity and stabilization" (2021, Applicable Analysis)
  • "Fluid-Structure Interaction with Kelvin-Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay" (2021, Applied Mathematics & Optimization)
  • "Maximal L-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems" (2021, Journal of Differential Equations)
  • "Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory" (2021, Journal of Inverse and Ill-Posed Problems)

Roberto Triggiani has collaborated frequently with several co-authors, including:

  • Irena Lasiecka
  • Buddhika Priyasad
  • Xiang Wan
  • Rasika Mahawattege
  • Marcelo Bongarti

Their work appears regularly in a range of scholarly journals. Frequent publication venues include:

  • Applied Mathematics & Optimization
  • Journal of Optimization Theory and Applications
  • Research in the Mathematical Sciences
  • Applicable Analysis
  • Journal of Differential Equations

Best Publications

  • Control Theory for Partial Differential Equations: Continuous and Approximation Theories

    Irena Lasiecka;Roberto Triggiani

  • Non homogeneous boundary value problems for second order hyperbolic operators

    I Lasiecka;J.-L Lions;R Triggiani

  • Differential and Algebraic Riccati Equations With Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory

    Irena Lasiecka;Roberto Triggiani

  • PROOF OF EXTENSIONS OF TWO CONJECTURES ON STRUCTURAL DAMPING FOR ELASTIC SYSTEMS

    Shu Ping Chen;Roberto Triggiani

  • On the stabilizability problem in Banach space

    Roberto Triggiani

  • Uniform stabilization of the wave equation with dirichlet-feedback control without geometrical conditions

    I. Lasiecka;R. Triggiani

  • Inverse/Observability Estimates for Second-Order Hyperbolic Equations with Variable Coefficients

    I Lasiecka;R Triggiani;Peng-Fei Yao

  • A Note on the Lack of Exact Controllability for Mild Solutions in Banach Spaces

    Roberto Triggiani

  • An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability

    Unknown

  • Exact controllability of the wave equation with Neumann boundary control

    I. Lasiecka;R. Triggiani

  • Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems

    I. Lasiecka;R. Triggiani

  • Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems

    F. Flandoli;I. Lasiecka;R. Triggiani

  • Controllability and Observability in Banach Space with Bounded Operators

    Roberto Triggiani

  • Function Space Controllability of Linear Retarded Systems: A Derivation from Abstract Operator Conditions

    A. Manitius;R. Triggiani

  • Internal stabilization of Navier-Stokes equations with finite-dimensional controllers

    Viorel Barbu;Roberto Triggiani

  • Uniform exponential energy decay of wave equations in a bounded region with L2(0, ∞; L2 (Γ))-feedback control in the Dirichlet boundary conditions

    I Lasiecka;R Triggiani

  • A cosine operator approach to modelingL2(0,T; L2 (Γ))--Boundary input hyperbolic equations

    I. Lasiecka;R. Triggiani

  • Boundary feedback stabilizability of parabolic equations

    Roberto Triggiani

  • Tangential boundary stabilization of Navier-Stokes equations

    Viorel Barbu;Irena Lasiecka;Roberto Triggiani

  • Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions

    Unknown

  • Carleman Estimates with No Lower-Order Terms for General Riemann Wave Equations. Global Uniqueness and Observability in One Shot

    Roberto Triggiani;Yao

  • Wave equation on a bounded domain with boundary dissipation: An operator approach☆

    R Triggiani

Frequent Co-Authors

Irena Lasiecka
Irena Lasiecka University of Memphis
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University
Igor Kukavica
Igor Kukavica University of Southern California
Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Roger Temam
Roger Temam Indiana University
Michael Renardy
Michael Renardy Virginia Tech
Franco Flandoli
Franco Flandoli Scuola Normale Superiore di Pisa

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