Energy Measurements and Equivalence of Boundary Data for Inverse Problems on Non-Compact Manifolds

2004 ◽  
pp. 183-213 ◽  
Author(s):  
A. Katchalov ◽  
Y. Kurylev ◽  
M. Lassas
Keyword(s):  
Inverse Problems ◽  
Boundary Data ◽  
Compact Manifolds

Reconstruction of boundary data for a class of nonlinear inverse problems

2004 ◽  
Vol 12 (4) ◽  
pp. 369-385 ◽  
Author(s):  
M. Essaouini ◽  
A. Nachaoui ◽  
S. El Hajji
Keyword(s):  
Inverse Problems ◽  
Boundary Data ◽  
Nonlinear Inverse Problems

scholarly journals Inverse Problems with Unknown Boundary Conditions and Final Overdetermination for Time Fractional Diffusion-Wave Equations in Cylindrical Domains

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2541
Author(s):  
Jaan Janno
Keyword(s):  
Inverse Problems ◽  
Boundary Conditions ◽  
Boundary Data ◽  
Wave Equations ◽  
Fractional Diffusion ◽  
Unknown Boundary ◽  
Cylindrical Domain ◽  
Uniqueness Of Solutions ◽  
Final Time ◽  
Diffusion Wave

Inverse problems to reconstruct a solution of a time fractional diffusion-wave equation in a cylindrical domain are studied. The equation is complemented by initial and final conditions and partly given boundary conditions. Two cases are considered: (1) full boundary data on a lateral hypersurface of the cylinder are given, but the boundary data on bases of the cylinder are specified in a neighborhood of a final time; (2) boundary data on the whole boundary of the cylinder are specified in a neighborhood of the final time, but the cylinder is either a cube or a circular cylinder. Uniqueness of solutions of the inverse problems is proved. Uniqueness for similar problems in an interval and a disk is established, too.

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35
Author(s):  
S.I. Kabanikhin ◽  
◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
...  
Keyword(s):  
Inverse Problems
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