Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control. (English) Zbl 1282.35257 SIAM J. Math. Anal. 45, No. 3, 1825-1870 (2013). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35M33 49J20 93C20 35Q93 PDFBibTeX XMLCite \textit{P. Acquistapace} et al., SIAM J. Math. Anal. 45, No. 3, 1825--1870 (2013; Zbl 1282.35257) Full Text: DOI arXiv
Lasiecka, Irena Optimal control problems and Riccati equations for systems with unbounded controls and partially analytic generators – applications to boundary and point control problems. (English) Zbl 1082.49026 Iannelli, Mimmo (ed.) et al., Functional analytic methods for evolution equations. Based on lectures given at the autumn school on evolution equations and semigroups, Levico Terme, Trento, Italy, October 28–November 2, 2001. Berlin: Springer (ISBN 3-540-23030-0/pbk). Lecture Notes in Mathematics 1855, 313-369 (2004). Reviewer: N. C. Apreutesei (Iaşi) MSC: 49K20 35K20 34G10 93C20 49N10 PDFBibTeX XMLCite \textit{I. Lasiecka}, Lect. Notes Math. 1855, 313--369 (2004; Zbl 1082.49026)
Lasiecka, Irena; Ruzmaikina, Anastasia A. Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation. (English) Zbl 1002.35089 J. Math. Anal. Appl. 270, No. 1, 16-50 (2002). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35B41 35L20 35B45 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{A. A. Ruzmaikina}, J. Math. Anal. Appl. 270, No. 1, 16--50 (2002; Zbl 1002.35089) Full Text: DOI
Hendrickson, Erik; Lasiecka, Irena Convergence of numerical algorithms for the approximations to Riccati equations arising in smart material acoustic structure interactions. (English) Zbl 0873.73070 Comput. Optim. Appl. 8, No. 1, 73-101 (1997). MSC: 74S05 74F10 76Q05 74M05 65M12 PDFBibTeX XMLCite \textit{E. Hendrickson} and \textit{I. Lasiecka}, Comput. Optim. Appl. 8, No. 1, 73--101 (1997; Zbl 0873.73070) Full Text: DOI
Lasiecka, I.; Triggiani, R. Exact controllability of the wave equation with Neumann boundary control. (English) Zbl 0666.49012 Appl. Math. Optimization 19, No. 3, 243-290 (1989). Reviewer: H.O.Fattorini MSC: 93B03 35L05 93C20 93B05 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Appl. Math. Optim. 19, No. 3, 243--290 (1989; Zbl 0666.49012) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Sharp regularity theory for second order hyperbolic equations of Neumann type. (English) Zbl 0767.35043 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 83, 109-113 (1989). Reviewer: V.Ferone (Napoli) MSC: 35L10 35L20 35B65 35D10 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 83, 109--113 (1989; Zbl 0767.35043)
Lasiecka, I.; Triggiani, R. Regularity theory for a class of nonhomogeneous Euler-Bernoulli equations: A cosine operator approach. (English) Zbl 0778.35061 Topics in mathematical analysis, Vol. Dedicated Mem. of A. L. Cauchy, Ser. Pure Math. 11, 623-657 (1989). Reviewer: V.Ferone (Napoli) MSC: 35L35 35B37 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, in: Analytic and Gevrey regularity for linear partial differential operators. . 623--657 (1989; Zbl 0778.35061)
Lasiecka, I.; Triggiani, R. The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati’s feedback synthesis and regularity of optimal solution. (English) Zbl 0639.49002 Appl. Math. Optimization 16, 147-168 (1987). Reviewer: K.Malanowski MSC: 49J20 35K20 93B50 35B37 49K20 47A62 93C20 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Appl. Math. Optim. 16, 147--168 (1987; Zbl 0639.49002) Full Text: DOI
Lasiecka, I.; Triggiani, R. Riccati equations for hyperbolic partial differential equations with \(L_ 2(0,T;L_ 2(\Gamma))\)-Dirichlet boundary terms. (English) Zbl 0788.49031 SIAM J. Control Optimization 24, No. 5, 884-925 (1986). Reviewer: H.O.Fattorini (Los Angeles) MSC: 49N10 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, SIAM J. Control Optim. 24, 884--925 (1986; Zbl 0788.49031) Full Text: DOI
Lasiecka, I.; Lions, J.-L.; Triggiani, R. Non homogeneous boundary value problems for second order hyperbolic operators. (English) Zbl 0631.35051 J. Math. Pures Appl., IX. Sér. 65, 149-192 (1986). Reviewer: P.Pucci MSC: 35L20 35D10 35B65 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., J. Math. Pures Appl. (9) 65, 149--192 (1986; Zbl 0631.35051)
Lasiecka, I.; Triggiani, R. Finite rank, relatively bounded perturbations of semigroups generators. II: Spectrum and Riesz basis assignment with applications to feedback systems. (English) Zbl 0623.47040 Ann. Mat. Pura Appl., IV. Ser. 143, 47-100 (1986). Reviewer: R.Curtain MSC: 47D03 47A55 47F05 35L20 35K20 35P20 47A10 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Ann. Mat. Pura Appl. (4) 143, 47--100 (1986; Zbl 0623.47040) Full Text: DOI
Lasiecka, I.; Triggiani, R. Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms. (English) Zbl 0526.35049 Appl. Math. Optimization 10, 275-286 (1983). MSC: 35L20 35D10 49J20 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Appl. Math. Optim. 10, 275--286 (1983; Zbl 0526.35049) Full Text: DOI
Lasiecka, I.; Triggiani, R. Dirichlet boundary control problem for parabolic equations with quadratic cost: analyticity and Riccati’s feedback synthesis. (English) Zbl 0506.93036 SIAM J. Control Optimization 21, 41-67 (1983). MSC: 93C20 35K20 93B50 34B30 47D03 49J20 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, SIAM J. Control Optim. 21, 41--67 (1983; Zbl 0506.93036) Full Text: DOI
Lasiecka, Irena Finite element approximation of time optimal control problems for parabolic equations with Dirichlet boundary conditions. (English) Zbl 0483.49018 System modeling and optimization, Proc. 10th IFIP Conf., New York 1981, Lect. Notes Contr. Inf. Sci. 38, 354-361 (1982). MSC: 49M15 35K20 65N30 PDFBibTeX XML