Control and estimation of the boundary heat transfer function in Stefan problems
Barbu, V. ; Kunisch, K. ; Ring, W.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 30 (1996), p. 671-710 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{M2AN_1996__30_6_671_0,
     author = {Barbu, Viorel and Kunisch, K. and Ring, W.},
     title = {Control and estimation of the boundary heat transfer function in Stefan problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {30},
     year = {1996},
     pages = {671-710},
     mrnumber = {1419934},
     zbl = {0865.65070},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1996__30_6_671_0}
}

Barbu, V.; Kunisch, K.; Ring, W. Control and estimation of the boundary heat transfer function in Stefan problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 30 (1996) pp. 671-710. http://gdmltest.u-ga.fr/item/M2AN_1996__30_6_671_0/

[B1] V. Barbu, 1993, Analysis and Control of Nonlinear Infinite Dimensional Systems. Academic Press, New York. | MR 1195128 | Zbl 0776.49005

[B2] V. Barbu, 1991, The approximate solvability ot the inverse one phase Stefan problem, Internat. Series Numer. Math., 99, pp. 33-43, Birkhauser Verlag, Basel. | MR 1118851 | Zbl 0733.65092

[BBC] J. V. Beck, B. Blackwell and C. Clair. 1985, Inverse Heat Conduction, Wiley-Interscience. | Zbl 0633.73120

[BDZ] V. Barbu, G. Da Prato, J. P. Zolésio, 1991, Feedback controllability of the free boundary of the one phase Stefan problem, Diff. Integral Equs., 4, pp. 225-239. | MR 1081181 | Zbl 0728.49013

[BK1] V. Barbu, K. Kunisch, Identification of nonlinear elliptic equations, (to appear). | MR 1365132 | Zbl 0865.35139

[BK2] V. Barbu, K. Kunisch, Identification of nonlinear parabolic equations (to appear). | MR 1424370

[Br1] H. Brézis, 1972, Problèmes unilatéraux, J. Math. Pures Appl., 51, pp. 1-64. | MR 428137 | Zbl 0237.35001

[Br2] H. Brézis, 1983, Analyse fonctionnelle, Dunod, Paris. | MR 697382 | Zbl 0511.46001

[C] J. R. Cannon, 1984 The One Dimensional Heat Equation, Addison-Weseley Publ. Comp., Menlo Park. | MR 747979 | Zbl 0567.35001

[DZ] G. Da Prato, J. P. Zolésio, 1988, An optimal control problem for a parabolic equation in noncylindrical domains, Systems & Control Letters, 11, pp 73-77. | MR 949893 | Zbl 0656.49001

[GLS] Gripenberg, S. Londen, and Staffans, 1990, Volterra Integral and Functional Equations, Cambridge University Press. | MR 1050319 | Zbl 0695.45002

[HN] K. H. Hoffmann, M. Niezgodka, 1990, Control of evolutionary free boundary problems, in Fret Boundary Problems Theory and Applications, pp. 439-450, K. H. Hoffmann and J. Sprekels, eds., Pitman Research Notes in Mathematics 186, Longman, London. | MR 1081737

[HS] K. H. Hoffmann, J. Sprekels, 1982, Real time control of the free boundary in a two phase Stefan problem, Numerical Functional Anal. Optimiz, 5, pp. 47-76. | MR 703116 | Zbl 0502.49005

[KMP] K. Kunisch, K. Murphy, and G. Peichl, Estimation of the conductivity in the one-phase Stefan problem : Basic results, to appear in Bolletino Unione Mat. Italiana. | MR 1328513 | Zbl 0848.35140

[La] P. K. Lamm, Future-sequential regularization methods for ill-posed Volterra equations, to appear in J. Math. Anal. and Appl. | MR 1354556 | Zbl 0851.65094

[Li] J. L. Lions, 1969, Quelques Méthodes de Résolutions de Problèmes aux Limites Nonlinéaires, Dunod, Paris. | Zbl 0189.40603

[PW] H. Proter, H. Weinberger, 1983, The Maximum Principle, Springer-Verlag, Berlin.