Shape Derivative for the Heat-Conduction Equation with Lipschitz Continuous Coefficients

Bollettino della Unione Matematica Italiana B

Volumn 10, Issue 3, 1996, Pages 569-594

  Dziri, Raja ^a   Zolésio, Jean Paul ^b  

^a PSL RESEARCH UNIVERSITY   (France)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011890375     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. H. BRÉZIS - P. L. LIONS, An estimate related to the strong maximum principle, Boll. Un. Mat. Ital. A, 17 (1980) 503-508.
2. M. C. DELFOUR - J. MORGAN, Derivative of min-max and saddle points with respect to a parameter, Lecture Notes in Control and Information Systems, 178, J. P. Zolésio ed., Springer-Verlag (1992), 174-185.
3. M. C. DELFOUR - J. P. ZOLÉSIO, Shape sensitivity analysis via minmax differentiability, SIAM J. Control Optim., 26 (1988) 834-862.
4. D. GILBARD - N. TRUDINGER, Elliptic partial differential equation of second order, Springer-Verlag, Berlin/New York, 1983.
5. P. L. LIONS, A remark on some elliptic second order problems, Boll. Un. Mat. Ital. A, 17 (1980) 267-270.
6. J. SOKOLOWSKI - J. P. ZOLÉSIO, Introduction to shape optimization, SCM, 16 Springer-Verlag, Berlin/New York, 1992.
7. G. STAMPACCHIA, Le problème de Dirichlet pour les équations du second ordre a coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15 (1965) 189-257.