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Publication Cover
Applicable Analysis
An International Journal
Volume 21, 1986 - Issue 1-2
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Original Articles

Regularity properties in parameter estimation of diffusion coefficients in one dimensional elliptic boundary value problems

K. Kunisch Institut fur Mathematik, Technische Universitat Graz, Graz, A-8010, Austria
&
L. W. White Department of Mathematics, University of Oklahoma, Norman, 73019, OK
Pages 71-87 | Received 20 Aug 1985, Published online: 02 May 2007

Citations (27)

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Read on this site (2)

Axel Ariaan Lukassen & Martin Kiehl. (2018) Parameter estimation with model order reduction for elliptic differential equations. Inverse Problems in Science and Engineering 26:4, pages 479-497.
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L. W. White. (1990) Stability of optimal output least squares estimators in certain beams and plate models. Applicable Analysis 39:1, pages 15-33.
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Articles from other publishers (25)

L. W. White & Y. S. Feng. (1993) Estimation of elastic coefficients for a multiple beam structure. Journal of Optimization Theory and Applications 79:3, pages 611-640.
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L.W. White. (1992) Estimation of elastic parameters in a von Karman model. Nonlinear Analysis: Theory, Methods & Applications 18:9, pages 829-849.
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U. Trautenhahn & D. Schweigert. 1992. Theory and Practice of Geophysical Data Inversion. Theory and Practice of Geophysical Data Inversion 3 19 .
C. T. Kelley & S. J. Wright. (1991) Sequential quadratic programming for certain parameter identification problems. Mathematical Programming 51:1-3, pages 281-305.
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K. Kunisch & G. Geymayer. 1991. Modelling and Inverse Problems of Control for Distributed Parameter Systems. Modelling and Inverse Problems of Control for Distributed Parameter Systems 81 92 .
Kazufumi Ito & Karl Kunisch. (1990) The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems. SIAM Journal on Control and Optimization 28:1, pages 113-136.
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Manfred Goebel & Uldis Raitums. 1990. System Modelling and Optimization. System Modelling and Optimization 281 290 .
K. Ito & K. Kunisch. (1990) The augmented lagrangian method for equality and inequality constraints in hilbert spaces. Mathematical Programming 46:1-3, pages 341-360.
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L.W White. (1989) Identification of flexural rigidity in a dynamic plate model. Journal of Mathematical Analysis and Applications 144:1, pages 275-303.
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L.W. White. (1989) Estimation of higher-order damping terms in linear plate models. Applied Mathematics and Computation 33:2, pages 89-122.
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D.M. Hwang & C.T. Kelley. (1989) Sequential Quadratic Programming for Parameter Identification Problems. IFAC Proceedings Volumes 22:4, pages 259-263.
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K Kunisch & L W White. (1989) Regularity properties and strict complementarity of the output-least-squares approach to parameter estimation in parabolic equations. Inverse Problems 5:1, pages 13-33.
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L. W. White. (1989) Estimation of elastic parameters in beams and certain plates:H 1 regularization. Journal of Optimization Theory and Applications 60:2, pages 305-326.
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L.W. White. (1989) Estimation of elastic coefficients for a two beam structure. Estimation of elastic coefficients for a two beam structure.
L. W. White. 1989. Control of Boundaries and Stabilization. Control of Boundaries and Stabilization 241 250 .
F. Colonius & K. Kunisch. (1989) Output least squares stability in elliptic systems. Applied Mathematics & Optimization 19:1, pages 33-63.
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H. T. Banks & K. KunischH. T. Banks & K. Kunisch. 1989. Estimation Techniques for Distributed Parameter Systems. Estimation Techniques for Distributed Parameter Systems 220 292 .
H. T. Banks & K. KunischH. T. Banks & K. Kunisch. 1989. Estimation Techniques for Distributed Parameter Systems. Estimation Techniques for Distributed Parameter Systems 92 151 .
H. T. Banks & K. KunischH. T. Banks & K. Kunisch. 1989. Estimation Techniques for Distributed Parameter Systems. Estimation Techniques for Distributed Parameter Systems 53 91 .
Manfred Goebel. (2006) On Control Problems for a Quasilinear Second Order Ordinary Differential Equation. Mathematische Nachrichten 142:1, pages 277-286.
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L.W White. (1988) Estimation of elastic coefficients in beams with parameter constraints: Penalization. Journal of Mathematical Analysis and Applications 135:2, pages 671-690.
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L.W. White. (1988) Estimation of flexural rigidity in a Kirchhoff plate model. Applied Mathematics and Computation 27:4, pages 337-359.
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K. Kunisch. (1988) A review of some recent results on the output least squares formulation of parameter estimation problems. Automatica 24:4, pages 531-539.
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K. Kunisch. (1987) A Survey of Some Recent Results on the Output Least Squares Formulation of Parameter Estimation Problems. IFAC Proceedings Volumes 20:1, pages 17-23.
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Karl Kunisch & L. W. White. (1987) Identifiability under Approximation for an Elliptic Boundary Value Problem. SIAM Journal on Control and Optimization 25:2, pages 279-297.
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