Anatomy of the shape Hessian via Lie brackets

Annali di Matematica Pura ed Applicata

Volumn 173, Issue 1, 1997, Pages 127-143

  Bucur, Dorin ^a   Zolésio, Jean Paul ^b,c  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

^c INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011843163     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/BF01783465     Document Type: Article

References (10)

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3. M. DELFOUR - J.-P. ZOLÉSIO, Anatomy of the shape Hessian, Ann. Mat. Pura App., CLVIII (1989).
4. M. DELFOUR - J.-P. ZOLÉSIO, Velocity method and Lagrangian formulation for the computation of the shape Hessian, SIAM Control and Optimization, 29, No. 6 (November 1991), pp. 1414-1442.
5. M. DELFOUR - J.-P. ZOLÉSIO, Shape analysis via oriented distance functions, J. Func. Analysis, No. 1 (July 1994), pp. 129-201.
6. A. HENROT - M. PIERRE, About critical points of the energy in the electromagnetic shaping problem, in Boundary Control and Boundary Variation, J.-P. ZOLÉSIO (ed.), Lecture Notes in Control and Information Sciences, vol. 178, Springer-Verlag (1991), pp. 238-252.
7. J. SOKOLOWSKI - J.-P. ZOLÉSIO, Introduction to Shape Optimization, Springer-Verlag (1992).
8. J.-P. ZOLÉSIO, Identification de domaines par déformations, PhD thesis, Nice (1979).
9. J.-P. ZOLÉSIO, Introduction to Shape Optimization Problems and Free Boundary Problems, Kluwer Academic Publishers, NATO ASI Series, C: Mathematical and Physical Sciences, vol. 380, M. DELFOUR (ed.) (1990), pp. 397-457.
10. F. DESAINT - J.-P. ZOLÉSIO, Shape Derivative for the Laplace-Beltrami Equation, Lecture Notes in Pure and Applied Mathematics, vol. 188, Marcel Dekker Inc., New York (1997), pp. 120-145.