scholarly journals A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance

2014 ◽  
Vol 366 (8) ◽  
pp. 3965-3995 ◽  
Author(s):  
V. Bacchelli ◽  
M. Di Cristo ◽  
E. Sincich ◽  
S. Vessella
Keyword(s):  
Inverse Problem ◽  
Boundary Data ◽  
Mixed Boundary ◽  
Unknown Boundary ◽  
Stability Estimates

Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data

2003 ◽  
Vol 10 (3) ◽  
pp. 467-480
Author(s):  
Igor Chudinovich ◽  
Christian Constanda
Keyword(s):  
Existence And Uniqueness ◽  
Boundary Data ◽  
Boundary Integral Equations ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Boundary Integral ◽  
Integral Representations ◽  
Transverse Shear Deformation ◽  
Uniqueness Of Solutions ◽  
Nonstationary Boundary

Abstract The existence of distributional solutions is investigated for the time-dependent bending of a plate with transverse shear deformation under mixed boundary conditions. The problem is then reduced to nonstationary boundary integral equations and the existence and uniqueness of solutions to the latter are studied in appropriate Sobolev spaces.

Lipschitz stability for a hyperbolic inverse problem by finite local boundary data

2006 ◽  
Vol 85 (10) ◽  
pp. 1219-1243 ◽  
Author(s):  
M. Bellassoued ◽  
D. Jellali ◽  
M. Yamamoto
Keyword(s):  
Inverse Problem ◽  
Boundary Data ◽  
Lipschitz Stability ◽  
Local Boundary
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