@article{KYB_1996_32_6_a2,
author = {Ackleh, Azmy S. and Fitzpatrick, Ben G.},
title = {Estimation of discontinuous parameters in general nonautonomous parabolic systems},
journal = {Kybernetika},
pages = {543--556},
year = {1996},
volume = {32},
number = {6},
mrnumber = {1438104},
zbl = {1043.65512},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1996_32_6_a2/}
}
Ackleh, Azmy S.; Fitzpatrick, Ben G. Estimation of discontinuous parameters in general nonautonomous parabolic systems. Kybernetika, Tome 32 (1996) no. 6, pp. 543-556. http://geodesic.mathdoc.fr/item/KYB_1996_32_6_a2/
[1] A. S. Ackleh, B. G. Fitzpatrick: Estimation of time dependent parameters in general parabolic evolution systems. J. Math. Anal. Appl. 203 (1996), 464-480. | MR | Zbl
[2] A. S. Ackleh, B. G. Fitzpatrick: Estimation of temporally discontinuous parameters in general parabolic evolution systems. In: Proceedings of the 3rd IEEE Mediterranean Symposium on New Directions in Control and Automation, vol. 1, pp. 280-286.
[3] H. T. Banks: Computational techniques for inverse problems in size structured stochastic population models. In: Control of Partial Differential Equations (A. Bermudez, ed.), (Lecture Notes in Control and Inform. Sci. 114), Springer-verlag, Berlin 1989, pp. 3-10. | MR | Zbl
[4] H. T. Banks L. W. Botsford F. Kappel, C. Wang: Modeling and estimation in size structured population models. In: Mathematical Ecology, Proceeding of the Autumn Course Research Seminars (T. G. Hallam, L.J. Gross and S. A. Levin, eds.), World Scientific, 1988, pp. 521-541. | MR
[5] H. T. Banks, J. M. Crowley: Parameter Estimation for Distributed Systems Arising in Elasticity. LCDS Report No. 81--24, Brown University. In: Proc. Symposium on Engineering Sciences and Mechanics, National Cheng Kung University, Tainan 1981, pp. 158-177.
[6] H. T. Banks J. M. Crowley, I. G. Rosen: Methods for the identification of material parameters in distributed models for flexible structures. Mat. Apl. Comput. 5 (1986), 2, 139-168. | MR
[7] H. T. Banks, K. Ito: A unified framework for approximation in inverse problems for distributed parameter systems. Control Theory Advanced Technology 4 (1988), 1, 73-90. | MR
[8] H. T. Banks, K. Kunisch: Estimation Techniques for Distributed Parameter Systems. Birkhäuser, Boston--Basel 1989. | MR | Zbl
[9] V. Barbu: Convexity and optimization in Banach spaces. Editura Academiei, Holland 1986. | Zbl
[10] C. Canuto, A. Quateroni: Approximation results for orthogonal polynomials in Sobolev spaces. Math. Comp. 38 (1982), 157, 67-86. | MR
[11] O. Diekmann M. Gyllenberg, H. R. Thieme: Perturbing evolutionary systems by step responses and cumulative outputs. Differential Integral Equations 8 (1995), 1205-1244. | MR
[12] N. Dunford, T. Schwartz: Linear Operators Part I: General Theory. Interscience Publishers, New York 1958.
[13] E. Giusti: Minimal Surfaces and Functions of Bounded Variations. Birkhäuser, Boston--Basel 1976. | MR
[14] S. Gutman: Identification of discontinuous parameters in flow equations. SIAM J. Control Optim. 28 (1990), 1049-1060. | MR | Zbl
[15] C. Johnson: Numerical Solution of Partial Differential Equations by the Finite Element Method. Cambridge Press, Cambridge 1987. | MR | Zbl
[16] P. K. Lamm: Estimation of discontinuous coefficients in parabolic systems: Applications to reservoir simulation. SIAM J. Control Optim. 25 (1987), 18-37. | MR | Zbl
[17] P. K. Lamm, K. A. Murphy: Estimation of discontinuous coefficients and boundary parameters for hyperbolic systems. Quart. Appl. Math. 46 (1988), 1-22. | MR | Zbl