Some stability estimates in determining sources and coefficients. (English) Zbl 1110.35100
Summary: We give some stability estimates for the inverse problem consisting in the determination of source term and coefficients which appear in an elliptic or parabolic equations
\[
\partial_tu-\Delta u+C(x,t)=f(x,t),\;x\in\Omega\subset \mathbb{R}^n
\]
from boundary measurements.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
Keywords:
Carleman estimate; inverse source problem; coefficient inverse problem; stability estimatesReferences:
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