Roberto Triggiani

Articles in Scholarly Journals [Incomplete List]

  1. Sharp regularity results for hyperbolic-dominated thermoelastic systems with point control?
    Journal of Mathematical Analysis and Applications, vol. 333, no. 1, pp. 530–542, 2007
  2. Abstract settings for tangential boundary stabilization of Navierâ??Stokes equations by high- and low-gain feedback controllersâ??
    Nonlinear Analysis, vol. 64, no. 12, pp. 2704–2746, 2006
  3. Well-posedness and sharp uniform decay rates at the L2(O)-Level of the Schrödinger equation with nonlinear boundary dissipation
    Journal of Evolution Equations, vol. 6, no. 3, pp. 485–537, 2006
  4. The dual algebraic Riccati equations: Additional results under isomorphism of the Riccati operator
    Applied Mathematics Letters, vol. 18, no. 9, pp. 1001–1008, 2005
  5. The operator B*L for the wave equation with Dirichlet control
    Abstract and Applied Analysis, vol. 2004, no. 7, pp. 625–634, 2004
  6. Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. Part II: L2 (Ω)-estimates
    Journal of Inverse and Ill-Posed Problems, vol. 12, no. 2, pp. 183–231, 2004
  7. Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. Part I: H1(Ω)-estimates
    Journal of Inverse and Ill-Posed Problems, vol. 12, no. 1, pp. 43–123, 2004
  8. Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
    Indiana University Mathematics Journal, vol. 53, no. 5, pp. 1443–1494, 2004
  9. L2(S)-regularity of the boundary to boundary operator B*L for hyperbolic and Petrowski PDEs
    Abstract and Applied Analysis, vol. 2003, no. 19, pp. 1061–1139, 2003
  10. Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs
    Abstract and Applied Analysis, vol. 7, no. 4, pp. 169–237, 2002
  11. Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks
    Journal of Mathematical Analysis and Applications, vol. 269, no. 2, pp. 642–688, 2002
  12. Carleman Estimates with No Lower-Order Terms for General Riemann Wave Equations. Global Uniqueness and Observability in One Shot
    Applied Mathematics and Optimization, vol. 46, no. 2, pp. 331–375, 2002
  13. Jacques-Louis Lions
    Applied Mathematics and Optimization, vol. 46, no. 2, pp. 79–80, 2002
  14. Sharp regularity theory for thermo-elastlc mixed problems
    Applicable Analysis, vol. 77, no. 3, pp. 419–433, 2001
  15. Factor spaces and implications on Kirchhoff equations with clamped boundary conditions
    Abstract and Applied Analysis, vol. 6, no. 8, pp. 441–488, 2001
  16. Sharp regularity theory for elastic and thermoelastic Kirchoff [Kirchhoff] equations with free boundary conditions
    Rocky Mountain Journal of Mathematics, vol. 30, no. 3, pp. 981–1024, 2000
  17. Extended algebraic Riccati equations in the abstract hyperbolic case
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 105–129, 2000
  18. Structural Decomposition of Thermo-elastic Semigroups with Rotational Forces
    Semigroup Forum, vol. 60, no. 1, pp. 16–66, 2000
  19. Simultaneous Exact/Approximate Boundary Controllability of Thermo-Elastic Plates with Variable Thermal Coefficient and Moment Control,
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 452–478, 2000
  20. Inverse/Observability Estimates for Second-Order Hyperbolic Equations with Variable Coefficients
    Journal of Mathematical Analysis and Applications, vol. 235, no. 1, pp. 13–57, 1999
  21. High level interior and boundary regularity results of the euler-bernoulli equation with application to differential riccati equations in optimal control1
    Numerical Functional Analysis and Optimization, vol. 20, no. 3, pp. 367–386, 1999
  22. Finite Element Compensators for Thermo-Elastic Systems with Boundary Control and Point Observation
    Numerical Functional Analysis and Optimization, vol. 20, no. 5, pp. 419–435, 1999
  23. Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
    Abstract and Applied Analysis, vol. 3, no. 1-2, pp. 153–169, 1998
  24. Exact controllability for second-order hyperbolic equations with variable coefficient-principal part and first-order terms
    Nonlinear Analysis, vol. 30, no. 1, pp. 111–122, 1997
  25. An optimal control problem with unbounded control operator and unbounded observation operator where the Algebraic Riccati Equation is satisfied as a Lyapunov equation
    Applied Mathematics Letters, vol. 10, no. 2, pp. 95–102, 1997
  26. A Singular Control Approach to Highly Damped Second-Order Abstract Equations and Applications \footnote{This research was made possible by NATO Collaborative Research Grant SA.5-2-05 (CRG.940161) 274/94/JARC-501, whose support is gratefully acknowledged. The research of I. Lasiecka and R. Triggiani was supported also by the National Science Foundation under Grant NSF-DMS-92-04338. The research of L. Pandolfi was written with the programs of GNAFA-CNR. The main results of the present paper were announced in [LPT]}.
    Applied Mathematics and Optimization, vol. 36, no. 1, pp. 67–107, 1997
  27. An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P.D.E.'s with boundary control and slightly smoothing observation
    Abstract and Applied Analysis, vol. 1, no. 4, pp. 435–484, 1996
  28. A sharp result on the exponential operator-norm decay of a family of strongly continuous semigroups
    Semigroup Forum, vol. 49, no. 1, pp. 387–395, 1994
  29. Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. Part II: The general case
    Applied Mathematics & Optimization, vol. 29, no. 1, pp. 1–65, 1994
  30. Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups—II. The general case
    Nonlinear Analysis, vol. 22, no. 4, pp. 431–465, 1994
  31. Lack of generation of strongly continuous semigroups by the damped wave operator on H x H (or: The little engine that couldn't)
    Applied Mathematics Letters, vol. 6, no. 6, pp. 33–37, 1993
  32. Algebraic Riccati equations arising from systems with unbounded input-solution operator: applications to boundary control problems for wave and plate equations
    Nonlinear Analysis, vol. 20, no. 6, pp. 659–695, 1993
  33. Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations
    Applied Mathematics & Optimization, vol. 28, no. 3, pp. 277–306, 1993
  34. Regularity with Interior Point Control. Part II. Kirchhoff Equations
    Journal of Differential Equations, vol. 103, no. 2, pp. 394–420, 1993
  35. Constructive steering control functions for linear systems and abstract rank conditions
    Journal of Optimization Theory and Applications, vol. 74, no. 2, pp. 347–367, 1992
  36. Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
    Applied Mathematics & Optimization, vol. 25, no. 2, pp. 189–224, 1992
  37. Counterexamples to some stability questions for dissipative generators*1
    Journal of Mathematical Analysis and Applications, vol. 170, no. 1, pp. 49–64, 1992
  38. Regularity with interior point control of Schr?dinger equations*1
    Journal of Mathematical Analysis and Applications, vol. 171, no. 2, pp. 567–577, 1992
  39. SIAM Journal on Mathematical Analysis, vol. 23, no. 2, Article ID 0523022, 1992
  40. SIAM Journal on Mathematical Analysis, vol. 22, no. 1, Article ID 0522004, 1991
  41. Numerical Approximations of Algebraic Riccati Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications
    Mathematics of Computation, vol. 57, no. 196, p. 639, 1991
  42. Differential Riccati equations with unbounded coefficients: applications to boundary control/boundary observation hyperbolic problems
    Nonlinear Analysis, vol. 17, no. 7, pp. 655–682, 1991
  43. Regularity of some structurally damped problems with point control and with boundary control*1
    Journal of Mathematical Analysis and Applications, vol. 161, no. 2, pp. 299–331, 1991
  44. Exact controllability and uniform stabilization of Kirchoff plates with boundary control only on ?H and homogeneous boundary displacement
    Journal of Differential Equations, vol. 93, no. 1, pp. 62–101, 1991
  45. Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II. General boundary data
    Journal of Differential Equations, vol. 94, no. 1, pp. 112–164, 1991
  46. Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
    Applied Mathematics & Optimization, vol. 23, no. 1, pp. 109–154, 1991
  47. Sharp regularity theory for second order hyperbolic equations of Neumann type
    Annali di Matematica Pura ed Applicata, vol. 157, no. 1, pp. 285–367, 1990
  48. Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
    Journal of Differential Equations, vol. 88, no. 2, pp. 279–293, 1990
  49. Exact controllability of the Euler-Bernoulli equation with boundary controls for displacement and moment*1
    Journal of Mathematical Analysis and Applications, vol. 146, no. 1, pp. 1–33, 1990
  50. Sharp regularity theory for thermo-elastic mixed problems
    Applicable Analysis, vol. 73, no. 3, pp. 557–572, 1990
  51. Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
    Proceedings of the American Mathematical Society, vol. 110, no. 2, p. 401, 1990
  52. Lack of Uniform Stabilization for Noncontractive Semigroups Under Compact Perturbation
    Proceedings of the American Mathematical Society, vol. 105, no. 2, p. 375, 1989
  53. SIAM Journal on Control and Optimization, vol. 27, no. 2, Article ID 0327018, 1989
  54. Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary*1
    Journal of Mathematical Analysis and Applications, vol. 141, no. 1, pp. 49–71, 1989
  55. Wave equation on a bounded domain with boundary dissipation: An operator approach
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 438–461, 1989
  56. Exact controllability of the wave equation with Neumann boundary control
    Applied Mathematics & Optimization, vol. 19, no. 1, pp. 243–290, 1989
  57. Exact boundary controllability onL 2(?) ?H ?1(?) of the wave equation with dirichlet boundary control acting on a portion of the boundary??, and related problems
    Applied Mathematics & Optimization, vol. 18, no. 1, pp. 241–277, 1988
  58. Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
    Annali di Matematica Pura ed Applicata, vol. 153, no. 1, pp. 307–382, 1988
  59. A Lifting Theorem for the Time Regularity of Solutions to Abstract Equations with Unbounded Operators and Applications to Hyperbolic Equations
    Proceedings of the American Mathematical Society, vol. 104, no. 3, p. 745, 1988
  60. Uniform exponential energy decay of wave equations in a bounded region with (0, ?; (?))-feedback control in the Dirichlet boundary conditions
    Journal of Differential Equations, vol. 66, no. 3, pp. 340–390, 1987
  61. The regulator problem for parabolic equations with dirichlet boundary control
    Applied Mathematics & Optimization, vol. 16, no. 1, pp. 147–168, 1987
  62. The regulator problem for parabolic equations with Dirichlet boundary control
    Applied Mathematics & Optimization, vol. 16, no. 1, pp. 187–216, 1987
  63. Finite rank, relatively bounded perturbations of semigroups generators
    Annali di Matematica Pura ed Applicata, vol. 143, no. 1, pp. 47–100, 1986
  64. A direct study of the Riccati equation arising in hyperbolic boundary control problems
    Journal of Differential Equations, vol. 64, no. 1, pp. 26–47, 1986
  65. SIAM Journal on Control and Optimization, vol. 24, no. 5, Article ID 0324054, 1986
  66. Regularity of hyperbolic equations underL 2(0,T; L 2 (?))-Dirichlet boundary terms
    Applied Mathematics & Optimization, vol. 10, no. 1, pp. 275–286, 1983
  67. Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop
    Applied Mathematics & Optimization, vol. 10, no. 1, pp. 307–350, 1983
  68. Feedback semigroups and cosine operators for boundary feedback parabolic and hyperbolic equations
    Journal of Differential Equations, vol. 47, no. 2, pp. 246–272, 1983
  69. Dirichlet boundary stabilization of the wave equation with damping feedback of finite range*1
    Journal of Mathematical Analysis and Applications, vol. 97, no. 1, pp. 112–130, 1983
  70. SIAM Journal on Control and Optimization, vol. 21, no. 1, Article ID 0321003, 1983
  71. SIAM Journal on Control and Optimization, vol. 21, no. 5, Article ID 0321047, 1983
  72. Structural assignment of neumann boundary feedback parabolic equations: the unbounded case in the feedback loop
    Annali di Matematica Pura ed Applicata, vol. 132, no. 1, pp. 131–175, 1982
  73. Hyperbolic equations with Dirichlet boundary feedback via position vector: Regularity and almost periodic stabilization?Part I
    Applied Mathematics & Optimization, vol. 8, no. 1, pp. 1–37, 1982
  74. Hyperbolic equations with dirichlet boundary feedback via position vector: Regularity and almost periodic stabilization?Part II
    Applied Mathematics & Optimization, vol. 8, no. 1, pp. 103–130, 1982
  75. Hyperbolic equations with dirichlet boundary feedback via position vector: Regularity and almost periodic stabilization?Part III
    Applied Mathematics & Optimization, vol. 8, no. 1, pp. 199–221, 1982
  76. A cosine operator approach to modelingL 2(0,T; L 2 (?))?Boundary input hyperbolic equations
    Applied Mathematics & Optimization, vol. 7, no. 1, pp. 35–93, 1981
  77. Boundary feedback stabilizability of parabolic equations
    Applied Mathematics & Optimization, vol. 6, no. 1, pp. 201–220, 1980
  78. Well-posedness and regularity of boundary feedback parabolic systems*1
    Journal of Differential Equations, vol. 36, no. 3, pp. 347–362, 1980
  79. SIAM Journal on Control and Optimization, vol. 18, no. 1, Article ID 0318007, 1980
  80. Analytic Properties of Cosine Operators
    Proceedings of the American Mathematical Society, vol. 74, no. 1, p. 101, 1979
  81. On Nambu's boundary stabilizability problem for diffusion processes
    Journal of Differential Equations, vol. 33, no. 2, pp. 189–200, 1979
  82. Sufficient conditions for function space controllability and feedback stabilizability of linear retarded systems
    IEEE Transactions on Automatic Control, vol. 23, no. 4, pp. 659–665, 1978
  83. SIAM Journal on Control and Optimization, vol. 16, no. 4, Article ID 0316041, 1978
  84. SIAM Journal on Control and Optimization, vol. 16, no. 6, Article ID 0316058, 1978
  85. SIAM Journal on Control and Optimization, vol. 15, no. 3, Article ID 0315028, 1977
  86. SIAM Journal on Control and Optimization, vol. 14, no. 2, Article ID 0314022, 1976
  87. Addendum
    Journal of Mathematical Analysis and Applications, vol. 56, no. 2, pp. 492–493, 1976
  88. On the lack of exact controllability for mild solutions in Banach spaces
    Journal of Mathematical Analysis and Applications, vol. 50, no. 2, pp. 438–446, 1975
  89. On the stabilizability problem in Banach space
    Journal of Mathematical Analysis and Applications, vol. 52, no. 3, pp. 383–403, 1975
  90. Pathological asymptotic behavior of control systems in Banach space1
    Journal of Mathematical Analysis and Applications, vol. 49, no. 2, pp. 411–429, 1975
  91. SIAM Journal on Control and Optimization, vol. 13, no. 2, Article ID 0313028, 1975