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V. Isakov, M. Yamamoto

Stability in a wave source problem by Dirichlet data on subboundary

We consider an initial value problem with the homogeneous Neumann boundary condition:

Here Ω ⊂ is a bounded domain whose boundary is of piecewise C ² -class. Let λ 0 be given and let Γ Ω be fixed suitably. We discuss an inverse problem of determining ƒ from the observation u|_{Γ × (0, T)}. Our main result is the stability in our inverse problem: provided that T is larger than the value given by Γ. The proof is based on the multilplier method.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 11, 10/2003
Pages: 399 - 409

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