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Volumn , Issue , 2002, Pages 1-473

Shapes and Geometries Analysis, Differential Calculus, and Optimization

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING; SET THEORY; VECTORS;

EID: 0036445241     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Article
Times cited : (51)

References (455)
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    • M.C. Delfour Membrane shell equation: Characterization of the space of solutions, in "Control of Distributed Parameter and Stochastic Systems," S. Chen, X. Li, J. Yong, and X. Y. Zhou, eds., 21-29, Chapman & Hall, New York, 1999.
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    • M.C. Delfour and J.-P. Zolésio Dérivation d'un min max et application à la dérivation par rapport au contrôle d'une observation non-différentiable de l'état (French) [Minimax differentiability and application to a nondifferentiable cost function in optimal control], C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), 571-574.
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    • M.C. Delfour and J.-P. Zolésio Analyse des problèmes de forme par la dérivation des minimax (French) [Analysis of design problems by differentiation of the minimax], Analyse non linéaire (Perpignan, 1987), Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), suppl., 211-227.
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    • M.C. Delfour and J.-P. Zolésio Shape derivatives for non-smooth domains, in "Optimal control of partial differential equations," K.-H. Hoffmann and W. Krabs, eds., 38-55, Lecture Notes in Control and Inform. Sci., 149, Springer-Verlag, Berlin, Heidelberg, New York 1991.
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    • M.C. Delfour and J.-P. Zolésio Oriented distance function in shape analysis and optimization, in "Control and optimal design of distributed parameter systems," J. Lagnese, D.L. Russell, L. White, eds., 39-72, IMA Vol. Math. Appl., 70, Springer-Verlag, New York, 1995.
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    • M.C. Delfour and J.-P. Zolésio On a variational equation for thin shells, in "Control and optimal design of distributed parameter systems," J. Lagnese, D.L. Russell, L. White, eds., 25-37, IMA Vol. Math. Appl., 70, Springer-Verlag, New York, 1995,
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    • J. Borggaard, J. Burkardt, M. Gunzburger, and J. Peterson, eds.; Progr. Systems Control Theory, 19, Birkhäuser, Boston, Basel, Berlin
    • M.C. Delfour and J.-P. Zolésio The optimal design problem of Céa and Malanowski revisited, in "Optimal design and control," J. Borggaard, J. Burkardt, M. Gunzburger, and J. Peterson, eds., 133-150, Progr. Systems Control Theory, 19, Birkhäuser, Boston, Basel, Berlin, 1995.
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    • Distance functions, curvatures and application to the theory of shells
    • GAKUTO Internat. Ser. Math. Sci. Appl., 5, Gakkotosho, Tokyo
    • M.C. Delfour and J.-P. Zolésio Distance functions, curvatures and application to the theory of shells, in "Curvature flows and related topics," 47-66, GAKUTO Internat. Ser. Math. Sci. Appl., 5, Gakkotosho, Tokyo, 1995.
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    • On the design and control of systems governed by differential equations
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    • M.C. Delfour and J.-P. Zolésio On the design and control of systems governed by differential equations on submanifolds, in "Distributed parameter systems: Modelling and control" (Warsaw, 1995), Control Cybernet. 25, (1996), 497-514.
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    • M.C. Delfour and J.-P. Zolésio Modelling and control of thin/shallow shells, in "Control of partial differential equations and applications" (Laredo, 1994), 51-62, Lecture Notes in Pure and Appl. Math., 174, Dekker, New York, 1996.
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    • Differential equations for linear shells: Comparison between intrinsic and classical models
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    • M.C. Delfour and J.-P. Zolésio Differential equations for linear shells: Comparison between intrinsic and classical models, in "Advances in mathematical sciences: CRM's 25 years" (Montreal, PQ, 1994), 41-124, CRM Proc. Lecture Notes, 11, AMS, Providence, RI, 1997.
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    • On a geometrical bang-bang principle for some compliance problems
    • G. Da Prato and J.P. Zolésio, eds.; Lecture Notes in Pure and Appl. Math., 188, Dekker, New York
    • M.C. Delfour and J.-P. Zolésio On a geometrical bang-bang principle for some compliance problems, in "Partial differential equations methods in control and shape analysis," G. Da Prato and J.P. Zolésio, eds., 95-109, Lecture Notes in Pure and Appl. Math., 188, Dekker, New York 1997.
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    • (South Hadley, MA); Contempt. Math., 208, AMS, Providence, RI
    • M.C. Delfour and J.-P. Zolésio Convergence to the asymptotic model for linear thin shells, in "Optimization methods in partial differential equations" (South Hadley, MA, 1996), 75-93, Contempt. Math., 208, AMS, Providence, RI, 1997.
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    • Hidden boundary smoothness for some classes of differential equations on submanifolds
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    • M.C. Delfour and J.-P. Zolésio Hidden boundary smoothness for some classes of differential equations on submanifolds, in "Optimization methods in partial differential equations" (South Hadley, MA, 1996), 59-73, Contemp. Math., 209, AMS, Providence, RI, 1997.
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    • Shape analysis via distance functions: Local theory
    • CRM Proc. Lecture Notes, 13, AMS, Providence, RI
    • M.C. Delfour and J.-P. Zolésio Shape analysis via distance functions: Local theory, in "Boundaries, interfaces, and transitions," 91-123, CRM Proc. Lecture Notes, 13, AMS, Providence, RI, 1998.
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    • Convergence of the linear P(1, 1) and P(2, 1) thin shells to asymptotic shells
    • (Québec, QC); CRM Proc. Lecture Notes, 21, AMS, Providence, RI
    • M.C. Delfour and J.-P. Zolésio Convergence of the linear P(1, 1) and P(2, 1) thin shells to asymptotic shells, in "Plates and shells" (Québec, QC, 1996), 125-158, CRM Proc. Lecture Notes, 21, AMS, Providence, RI, 1999.
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