Geodesic
On the shape derivative for problems of Bernoulli type
J. Haslinger1 ; K. Ito2 ; T. Kozubek3 ; Karl Kunisch4 ; G. Peichl4
1Charles University, Praha, Czech Republic
2North Carolina State University, Raleigh, United States
3VSB-Technical University Ostrava, Czech Republic
4Karl-Franzens-Universität Graz, Austria
Interfaces and free boundaries, Tome 11 (2009) no. 2, pp. 317-330

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DOI

The shape derivative of the cost functional in a Bernoulli-type problem is characterized. The calculation of the derivative of the cost does not use the shape derivative of the state variable and is achieved under mild regularity conditions on the boundary of the domain.
DOI : 10.4171/ifb/213
Classification : 35-XX, 65-XX, 76-XX, 92-XX

J. Haslinger  1   ; K. Ito  2   ; T. Kozubek  3   ; Karl Kunisch  4   ; G. Peichl  4

1 Charles University, Praha, Czech Republic
2 North Carolina State University, Raleigh, United States
3 VSB-Technical University Ostrava, Czech Republic
4 Karl-Franzens-Universität Graz, Austria 
J. Haslinger; K. Ito; T. Kozubek; Karl Kunisch; G. Peichl. On the shape derivative for problems of Bernoulli type. Interfaces and free boundaries, Tome 11 (2009) no. 2, pp. 317-330. doi: 10.4171/ifb/213
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     title = {On the shape derivative for problems of {Bernoulli} type},
     journal = {Interfaces and free boundaries},
     pages = {317--330},
     year = {2009},
     volume = {11},
     number = {2},
     doi = {10.4171/ifb/213},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/213/}
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