WIAS Preprint No. 441, (1998)
Determination of point wave sources by pointwise observations: stability and reconstruction
Authors
- Bruckner, Gottfried
- Yamamoto, Masahiro
2010 Mathematics Subject Classification
- 35L05 35R30 65R30
Keywords
- Point source reconstruction, wave equation, uniqueness, stability, regularization
DOI
Abstract
We consider a wave equation with point source terms: $$ leftaligned fracpartial^2 upartial t^2(x,t) & = fracpartial^2 upartial x^2 (x,t) + lambda(t)sum^N_k=1alpha_kdelta(x-x_k), qquad 0
Appeared in
- Inverse Problems, 16(2000), pp. 723-748
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