Free Access
Volume 8, 2002
A tribute to JL Lions
Page(s) 195 - 218
Published online 15 August 2002
  1. L. Álvarez-Vázquez and A. Martínez, Modelling and control of natural convection in canned foods. IMA J. Appl. Math. 63 (1999) 246-265. [Google Scholar]
  2. K.H. Baek and S.J. Elliot, Natural algorithms for choosing source locations in active control systems. J. Sound Vibr. 186 (1995) 245-267. [CrossRef] [Google Scholar]
  3. Beranek and Ver, Noise and vibration control engineering. Principles and applications. John Wiley and Sons, New York (1992). [Google Scholar]
  4. A. Bermúdez, Mathematical techniques for some environmental problems related to water pollution control, in Mathematics, Climate and Environment, edited by J.I. Díaz, J.-L. Lions. Masson, Paris (1993). [Google Scholar]
  5. A. Bermúdez and A. Martínez, A state constrained optimal control problem related to the sterilization of canned foods. Automatica. The IFAC Journal 30 (1994) 319-329. [CrossRef] [Google Scholar]
  6. A. Bermúdez, A. Martínez and C. Rodríguez, Un problème de contrôle ponctuel lié à l'emplacement optimal d'émissaires d'évacuation sous-marine. C. R. Acad. Sci. Paris Sér. I Math. 313 (1991) 515-518. [Google Scholar]
  7. A. Bermúdez, C. Rodríguez and M.A. Vilar, Solving shallow water equations by a mixed implicit finite element method. IMA J. Num. Anal. 11 (1991) 79-97. [CrossRef] [Google Scholar]
  8. A. Bermúdez and C. Saguez, Optimal control of a Signorini problem. SIAM J. Control Optim. 25 (1987) 576-582. [CrossRef] [MathSciNet] [Google Scholar]
  9. J.F. Bonnans and E. Casas, Contrôle de systèmes elliptiques semilinéaires comportant des contraintes distribuées sur l'état, in Nonlinear partial differential equations and their applications, edited by H. Brezis and J.-L. Lions. Pitman (1988). [Google Scholar]
  10. E. Casas, L2 estimates for the finite element method for the Dirichlet problem with singular data. Numer. Math. 47 (1985) 627-632. [CrossRef] [MathSciNet] [Google Scholar]
  11. E. Casas, Control of an elliptic problem with pointwise state constraints. SIAM J. Control Optim. 24 (1986) 1309-1318. [CrossRef] [MathSciNet] [Google Scholar]
  12. E. Casas, Pontryagin's principle for state constrained boundary control problems of semilinear parabolic equations. SIAM J. Control Optim. 35 (1997) 1297-1327. [CrossRef] [MathSciNet] [Google Scholar]
  13. J.F. Bonnans, An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Birkhauser-Verlag, Basel, Internat. Ser. Numer. Math. 87 (1989) 1-17. [Google Scholar]
  14. E. Casas and C. Pola , PLCBAS User's Guide VERSION 1.1. Computación 1. Universidad de Cantabria, Santander, Spain (1989). [Google Scholar]
  15. P.G. Ciarlet, Basic error estimates for elliptic problems, in Handbook of Numerical Analysys, Vol. II, edited by P.G. Ciarlet and J.-L. Lions. North-Holand (1991). [Google Scholar]
  16. E. Di Benedetto, On the local behaviour of solutions of degenerate parabolic equatons with measurable coefficients. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 13 (1986) 487-535. [MathSciNet] [Google Scholar]
  17. I. Ekeland and R. Temam, Convex analysis and variational problems. North-Holland, Amsterdam (1976). [Google Scholar]
  18. P. Gamallo, Contribución al estudio matemático de problemas de simulación y control activo del ruido, Ph. Thesis. Universidade de Santiago de Compostela, Spain (2002). [Google Scholar]
  19. J. Herskovits, A two stage feasible directions algorithm for nonlinear constrained optimization. Math. Programming 36 (1986) 19-38. [CrossRef] [MathSciNet] [Google Scholar]
  20. J. Herskovits, A feasible directions interior point technique for nonlinear optimization. J. Optim. Theory Appl. 99 (1998) 121-146. [CrossRef] [MathSciNet] [Google Scholar]
  21. J.B. Hiriart-Urruty and C. Lemarechal, Convex analysis and Minimization Algorithms. Springer-Verlag, Berlin, Heildelberg (1993). [Google Scholar]
  22. B. Hu and J. Yong, Pontriagin maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints. SIAM J. Control Optim. 33 (1995) 1857-1880. [CrossRef] [MathSciNet] [Google Scholar]
  23. O.A. Ladyzhenskaya, V.A. Solonnikov and N.N. Uraltseva, Linear and quasilinear equations of parabolic type. Amer. Math. Soc., Providence, Transl. Math. Monogr. 23 (1968). [Google Scholar]
  24. J.-L. Lions, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles. Dunod, Paris (1968). [Google Scholar]
  25. J.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Paris (1969). [Google Scholar]
  26. P.A. Nelson and S.J. Elliot, Active Control of Sound. Academic Press, London (1999). [Google Scholar]
  27. G.I. Marchuk, Mathematical models in environmental problems. North Holland, Amsterdam (1986). [Google Scholar]
  28. A. Martínez, C. Rodríguez and M.E. Vázquez-Méndez, Theoretical and numerical analysis of an optimal control problem related to waste-water treatment. SIAM J. Control Optim. 38 (2000) 1534-1553. [CrossRef] [MathSciNet] [Google Scholar]
  29. C. Olin Ball and F.C.W. Olson, Sterilization in food technology. Mc Graw Hill, New York (1957). [Google Scholar]
  30. R.I. Pérez Martín, J.R. Banga and J.M. Gallardo, Simulation of thermal processes in tuna can manufacture. Instituto de Investigaciones Marinas (C.S.I.C.), Vigo, Spain (1989). [Google Scholar]
  31. E.R. Panier, A.L. Tits and J. Herskovits, A QP-Free, Globally Convergent, Locally Superlinearly Convergent Algorithm for Inequality Constrained Optimization. SIAM J. Control Optim. 26 (1988) 788-810. [CrossRef] [MathSciNet] [Google Scholar]
  32. R. Scott, Finite element convergence for singular data. Numer. Math. 21 (1973) 317-327. [CrossRef] [MathSciNet] [Google Scholar]
  33. M.E. Vázquez-Méndez, Contribución a la resolución numérica de modelos para el estudio de la contaminación de aguas. Master thesis. Dept. Matemática Aplicada. Univ. Santiago de Compostela, Spain (1992). [Google Scholar]

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