Works by Triggiani, Roberto

Results: 39

SEMIGROUP WELL-POSEDNESS IN THE ENERGY SPACE OF A PARABOLIC-HYPERBOLIC COUPLED STOKES-LAMÉ PDE SYSTEM OF FLUID-STRUCTURE INTERACTION.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2009, v. 2, n. 3, p. 417, doi. 10.3934/dcdss.2009.2.417

By:

AVALOS, GEORGE;
TRIGGIANI, ROBERTO

Publication type:

Article

HEAT-STRUCTURE INTERACTION WITH VISCOELASTIC DAMPING: ANALYTICITY WITH SHARP ANALYTIC SECTOR, EXPONENTIAL DECAY, FRACTIONAL POWERS.

Published in:

Communications on Pure & Applied Analysis, 2016, v. 15, n. 5, p. 1515, doi. 10.3934/cpaa.2016001

By:

LASIECKA, IRENA;
TRIGGIANI, ROBERTO

Publication type:

Article

Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: Uniqueness and stability.

Published in:

Chinese Annals of Mathematics, 2011, v. 32, n. 5, p. 669, doi. 10.1007/s11401-011-0672-1

By:

Liu, Shitao;
Triggiani, Roberto

Publication type:

Article

Unique Continuation Properties of Over-Determined Static Boussinesq Problems with Application to Uniform Stabilization of Dynamic Boussinesq Systems.

Published in:

Applied Mathematics & Optimization, 2021, v. 84, n. 2, p. 2099, doi. 10.1007/s00245-020-09705-z

By:

Triggiani, Roberto;
Wan, Xiang

Publication type:

Article

Uniform Stabilization of Navier–Stokes Equations in Critical Lq-Based Sobolev and Besov Spaces by Finite Dimensional Interior Localized Feedback Controls.

Published in:

Applied Mathematics & Optimization, 2021, v. 83, n. 3, p. 1765, doi. 10.1007/s00245-019-09607-9

By:

Lasiecka, Irena;
Priyasad, Buddhika;
Triggiani, Roberto

Publication type:

Article

Heat–Viscoelastic Plate Interaction via Bending Moment and Shear Forces Operators: Analyticity, Spectral Analysis, Exponential Decay.

Published in:

Applied Mathematics & Optimization, 2020, v. 82, n. 2, p. 755, doi. 10.1007/s00245-018-9547-0

By:

Triggiani, Roberto

Publication type:

Article

Numerical Approximation of Riccati-Based Hyperbolic-Like Feedback Controls.

Published in:

Journal of Optimization Theory & Applications, 2025, v. 205, n. 2, p. 1, doi. 10.1007/s10957-025-02640-5

By:

Lasiecka, Irena;
Triggiani, Roberto;
Wan, Xiang

Publication type:

Article

Boundary Stabilization for a Heat-Kelvin-Voigt Unstable Interaction Model, with Control and Partial Observation Localized at the Interface Only.

Published in:

Journal of Optimization Theory & Applications, 2024, v. 203, n. 2, p. 1471, doi. 10.1007/s10957-024-02477-4

By:

Lasiecka, Irena;
Mahawattege, Rasika;
Triggiani, Roberto

Publication type:

Article

Optimal Feedback Arising in a Third-Order Dynamics with Boundary Controls and Infinite Horizon.

Published in:

Journal of Optimization Theory & Applications, 2022, v. 193, n. 1-3, p. 831, doi. 10.1007/s10957-022-02017-y

By:

Lasiecka, Irena;
Triggiani, Roberto

Publication type:

Article

Uniform Stabilization of 3D Navier–Stokes Equations in Low Regularity Besov Spaces with Finite Dimensional, Tangential-Like Boundary, Localized Feedback Controllers.

Published in:

Archive for Rational Mechanics & Analysis, 2021, v. 241, n. 3, p. 1575, doi. 10.1007/s00205-021-01677-w

By:

Lasiecka, Irena;
Priyasad, Buddhika;
Triggiani, Roberto

Publication type:

Article

Uniform stabilization in Besov spaces with arbitrary decay rates of the magnetohydrodynamic system by finite-dimensional interior localized static feedback controllers.

Published in:

Research in the Mathematical Sciences, 2024, v. 12, n. 1, p. 1, doi. 10.1007/s40687-024-00490-7

By:

Lasiecka, Irena;
Priyasad, Buddhika;
Triggiani, Roberto

Publication type:

Article

Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory.

Published in:

Journal of Inverse & Ill-Posed Problems, 2022, v. 30, n. 1, p. 35, doi. 10.1515/jiip-2020-0132

By:

Lasiecka, Irena;
Priyasad, Buddhika;
Triggiani, Roberto

Publication type:

Article

Global uniqueness and stability in determining the electric potential coefficient of an inverse problem for Schrödinger equations on Riemannian manifolds.

Published in:

Journal of Inverse & Ill-Posed Problems, 2015, v. 23, n. 6, p. 587, doi. 10.1515/jiip-2014-0003

By:

Triggiani, Roberto;
Zhang, Zhifei

Publication type:

Article

An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement.

Published in:

Journal of Inverse & Ill-Posed Problems, 2013, v. 21, n. 6, p. 825, doi. 10.1515/jip-2012-0096

By:

Liu, Shitao;
Triggiani, Roberto

Publication type:

Article

Global uniqueness in determining electric potentials for a system of strongly coupled Schröödinger equations with magnetic potential terms.

Published in:

Journal of Inverse & Ill-Posed Problems, 2011, v. 19, n. 2, p. 223, doi. 10.1515/JIIP.2011.030

By:

Liu, Shitao;
Triggiani, Roberto

Publication type:

Article

Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control.

Published in:

Control & Cybernetics, 2022, v. 51, n. 2, p. 171, doi. 10.2478/candc-2022-0013

By:

Lasiecka, Irena;
Triggiani, Roberto

Publication type:

Article

Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions.

Published in:

Control & Cybernetics, 2010, v. 39, n. 4, p. 1461

By:

Lebiedzik, Catherine;
Triggiani, Roberto

Publication type:

Article

Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions.

Published in:

Control & Cybernetics, 2009, v. 38, n. 4B, p. 1461

By:

Lebiedzik, Catherine;
Triggiani, Roberto

Publication type:

Article

FROM LOW TO HIGH-AND LOWER-OPTIMAL REGULARITY OF THE SMGTJ EQUATION WITH DIRICHLET AND NEUMANN BOUNDARY CONTROL, AND WITH POINT CONTROL, VIA EXPLICIT REPRESENTATION FORMULAE.

Published in:

Evolution Equations & Control Theory, 2022, v. 11, n. 6, p. 1967, doi. 10.3934/eect.2022007

By:

TRIGGIANI, ROBERTO;
XIANG WAN

Publication type:

Article

HEAT-VISCOELASTIC PLATE INTERACTION: ANALYTICITY, SPECTRAL ANALYSIS, EXPONENTIAL DECAY.

Published in:

Evolution Equations & Control Theory, 2018, v. 7, n. 1, p. 153, doi. 10.3934/eect.2018008

By:

Triggiani, Roberto;
Zhang, Jing

Publication type:

Article

SHARP REGULARITY THEORY OF SECOND ORDER HYPERBOLIC EQUATIONS WITH NEUMANN BOUNDARY CONTROL NON-SMOOTH IN SPACE.

Published in:

Evolution Equations & Control Theory, 2016, v. 5, n. 4, p. 489, doi. 10.3934/eect.2016016

By:

TRIGGIANI, ROBERTO

Publication type:

Article

A MATRIX-VALUED GENERATOR A WITH STRONG BOUNDARY COUPLING: A CRITICAL SUBSPACE OF D((-A)½) AND D((-A*)½) AND IMPLICATIONS.

Published in:

Evolution Equations & Control Theory, 2016, v. 5, n. 1, p. 185, doi. 10.3934/eect.2016.5.185

By:

TRIGGIANI, ROBERTO

Publication type:

Article

FLUID-STRUCTURE INTERACTION WITH AND WITHOUT INTERNAL DISSIPATION OF THE STRUCTURE: A CONTRAST STUDY IN STABILITY.

Published in:

Evolution Equations & Control Theory, 2013, v. 2, n. 4, p. 563, doi. 10.3934/eect.2013.2.563

By:

AVALOS, GEORGE;
TRIGGIANI, ROBERTO

Publication type:

Article

PREFACE.

Published in:

Evolution Equations & Control Theory, 2013, v. 2, n. 4, p. 557, doi. 10.3934/eect.2013.2.4i

By:

Taylor, Stephen W.;
Triggiani, Roberto

Publication type:

Article

RATIONAL DECAY RATES FOR A PDE HEAT-STRUCTURE INTERACTION: A FREQUENCY DOMAIN APPROACH.

Published in:

Evolution Equations & Control Theory, 2013, v. 2, n. 2, p. 233, doi. 10.3934/eect.2013.2.233

By:

AVALOS, GEORGE;
TRIGGIANI, ROBERTO

Publication type:

Article

Uniform stabilization of Boussinesq systems in critical Lq-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls.

Published in:

Discrete & Continuous Dynamical Systems - Series B, 2020, v. 25, n. 10, p. 4071, doi. 10.3934/dcdsb.2020187

By:

Lasiecka, Irena;
Priyasad, Buddhika;
Triggiani, Roberto

Publication type:

Article

A Heat-Viscoelastic Structure Interaction Model with Neumann and Dirichlet Boundary Control at the Interface: Optimal Regularity, Control Theoretic Implications.

Published in:

Applied Mathematics & Optimization, 2016, v. 73, n. 3, p. 571, doi. 10.1007/s00245-016-9348-2

By:

Triggiani, Roberto

Publication type:

Article

Preface: In Memory of A.V. Balakrishnan.

Published in:

2016

By:

Bensoussan, Alain;
Kukavica, Igor;
Lasiecka, Irena;
Mitter, Sanjoy;
Temam, Roger;
Triggiani, Roberto

Publication type:

Editorial

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

Published in:

Applied Mathematics & Optimization, 2002, v. 46, n. 2/3, p. 331, doi. 10.1007/s00245-002-0751-5

By:

Roberto Triggiani;
Yao, P. F.

Publication type:

Article

The SMGT equation from the boundary: regularity and stabilization.

Published in:

Applicable Analysis, 2022, v. 101, n. 5, p. 1735, doi. 10.1080/00036811.2021.1999420

By:

Bongarti, Marcelo;
Lasiecka, Irena;
Triggiani, Roberto

Publication type:

Article

Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace.

Published in:

Applicable Analysis, 2012, v. 91, n. 8, p. 1551, doi. 10.1080/00036811.2011.618125

By:

Liu, Shitao;
Triggiani, Roberto

Publication type:

Article

The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach.

Published in:

Applicable Analysis, 2011, v. 90, n. 6, p. 971, doi. 10.1080/00036811.2010.483766

By:

Lasiecka, Irena;
Triggiani, Roberto;
Zhang, Jing

Publication type:

Article

Coupled parabolic-hyperbolic Stokes-Lame PDE system: limit behaviour of the resolvent operator on the imaginary axis.

Published in:

Applicable Analysis, 2009, v. 88, n. 9, p. 1357, doi. 10.1080/00036810903278513

By:

Avalos, George;
Triggiani, Roberto

Publication type:

Article

Sharp regularity theory for thermo-elastlc mixed problems.

Published in:

Applicable Analysis, 2001, v. 77, n. 3/4, p. 419, doi. 10.1080/00036810108840919

By:

Triggiani, Roberto

Publication type:

Article

Sharp regularity theory for thermo-elastic mixed problems.

Published in:

Applicable Analysis, 1999, v. 73, n. 3/4, p. 557, doi. 10.1080/00036819908840797

By:

Triggiani, Roberto

Publication type:

Article

Abstract representation of the SMGTJ equation under rough boundary controls: Optimal interior regularity.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 17, p. 13063, doi. 10.1002/mma.8619

By:

Lasiecka, Irena;
Triggiani, Roberto;
Wan, Xiang

Publication type:

Article

Structural Decomposition of Thermo-elastic Semigroups with Rotational Forces.

Published in:

Semigroup Forum, 2000, v. 60, n. 1, p. 16, doi. 10.1007/s002330010003

By:

Lasiecka, Irena;
Triggiani, Roberto

Publication type:

Article

STABILITY ENHANCEMENT OF A 2-D LINEAR NAVIER-STOKES CHANNEL FLOW BY A 2-D, WALL-NORMAL BOUNDARY CONTROLLER.

Published in:

Discrete & Continuous Dynamical Systems - Series B, 2007, v. 8, n. 2, p. 279

By:

TRIGGIANI, ROBERTO

Publication type:

Article

THE COUPLED PDE SYSTEM OF A COMPOSITE (SANDWICH) BEAM REVISITED.

Published in:

Discrete & Continuous Dynamical Systems - Series B, 2003, v. 3, n. 2, p. 285

By:

TRIGGIANI, ROBERTO

Publication type:

Article

Works by Triggiani, Roberto

SEMIGROUP WELL-POSEDNESS IN THE ENERGY SPACE OF A PARABOLIC-HYPERBOLIC COUPLED STOKES-LAMÉ PDE SYSTEM OF FLUID-STRUCTURE INTERACTION.

HEAT-STRUCTURE INTERACTION WITH VISCOELASTIC DAMPING: ANALYTICITY WITH SHARP ANALYTIC SECTOR, EXPONENTIAL DECAY, FRACTIONAL POWERS.

Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: Uniqueness and stability.

Unique Continuation Properties of Over-Determined Static Boussinesq Problems with Application to Uniform Stabilization of Dynamic Boussinesq Systems.

Uniform Stabilization of Navier–Stokes Equations in Critical Lq-Based Sobolev and Besov Spaces by Finite Dimensional Interior Localized Feedback Controls.

Heat–Viscoelastic Plate Interaction via Bending Moment and Shear Forces Operators: Analyticity, Spectral Analysis, Exponential Decay.

Numerical Approximation of Riccati-Based Hyperbolic-Like Feedback Controls.

Boundary Stabilization for a Heat-Kelvin-Voigt Unstable Interaction Model, with Control and Partial Observation Localized at the Interface Only.

Optimal Feedback Arising in a Third-Order Dynamics with Boundary Controls and Infinite Horizon.

Uniform Stabilization of 3D Navier–Stokes Equations in Low Regularity Besov Spaces with Finite Dimensional, Tangential-Like Boundary, Localized Feedback Controllers.

Uniform stabilization in Besov spaces with arbitrary decay rates of the magnetohydrodynamic system by finite-dimensional interior localized static feedback controllers.

Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory.

Global uniqueness and stability in determining the electric potential coefficient of an inverse problem for Schrödinger equations on Riemannian manifolds.

An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement.

Global uniqueness in determining electric potentials for a system of strongly coupled Schröödinger equations with magnetic potential terms.

Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control.

Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions.

Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions.

FROM LOW TO HIGH-AND LOWER-OPTIMAL REGULARITY OF THE SMGTJ EQUATION WITH DIRICHLET AND NEUMANN BOUNDARY CONTROL, AND WITH POINT CONTROL, VIA EXPLICIT REPRESENTATION FORMULAE.

HEAT-VISCOELASTIC PLATE INTERACTION: ANALYTICITY, SPECTRAL ANALYSIS, EXPONENTIAL DECAY.

SHARP REGULARITY THEORY OF SECOND ORDER HYPERBOLIC EQUATIONS WITH NEUMANN BOUNDARY CONTROL NON-SMOOTH IN SPACE.

A MATRIX-VALUED GENERATOR A WITH STRONG BOUNDARY COUPLING: A CRITICAL SUBSPACE OF D((-A)<sup>½</sup>) AND D((-A*)<sup>½</sup>) AND IMPLICATIONS.

FLUID-STRUCTURE INTERACTION WITH AND WITHOUT INTERNAL DISSIPATION OF THE STRUCTURE: A CONTRAST STUDY IN STABILITY.

PREFACE.

RATIONAL DECAY RATES FOR A PDE HEAT-STRUCTURE INTERACTION: A FREQUENCY DOMAIN APPROACH.

Uniform stabilization of Boussinesq systems in critical L<sup>q</sup>-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls.

A Heat-Viscoelastic Structure Interaction Model with Neumann and Dirichlet Boundary Control at the Interface: Optimal Regularity, Control Theoretic Implications.

Preface: In Memory of A.V. Balakrishnan.

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

The SMGT equation from the boundary: regularity and stabilization.

Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace.

The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach.

Coupled parabolic-hyperbolic Stokes-Lame PDE system: limit behaviour of the resolvent operator on the imaginary axis.

Sharp regularity theory for thermo-elastlc mixed problems.

Sharp regularity theory for thermo-elastic mixed problems.

Abstract representation of the SMGTJ equation under rough boundary controls: Optimal interior regularity.

Structural Decomposition of Thermo-elastic Semigroups with Rotational Forces.

STABILITY ENHANCEMENT OF A 2-D LINEAR NAVIER-STOKES CHANNEL FLOW BY A 2-D, WALL-NORMAL BOUNDARY CONTROLLER.

THE COUPLED PDE SYSTEM OF A COMPOSITE (SANDWICH) BEAM REVISITED.