Detecting nonlinear corrosion by electrostatic measurements

Abstract

We deal with an inverse problem arising in corrosion detection. We prove a stability estimate for a nonlinear term on the inaccessible portion of the boundary by electrostatic boundary measurements on the accessible one.

Keywords:

• Inverse boundary problems
• Corrosion
• Stability
• 2000 Mathematics Subject Classifications: 35R30
• 35R25
• 31B20

Acknowledgements

The authors wish to thank the editors of this special issue, for this opportunity to honor Carlo Pucci and to acknowledge his highly influential teaching and his innumerable scientific and organizational initiatives, of which the authors, among many others, in more direct or indirect ways, have significantly benefited. Work supported in part by MIUR, grant no. 2002013279.