On the shape derivative for problems of Bernoulli type

• ID: 2450, RIV: 10026315
• ISSN: 1463-9963, ISBN: not specified
• source: Interfaces and Free Boundaries
• keywords: shape; derivative; problems; Bernoulli; type
• authors: Jaroslav Haslinger, Kazufumi Ito, Tomáš Kozubek, Karl Kunisch, Gunther Peichl
• authors from KNM: Haslinger Jaroslav

Abstract

The shape derivative of the flux cost functional in a Bernoulli-type problem is derived under mild regularity assumptions on the solution of the state problem.