The Cauchy problem for the wave equation, with an unknown source of the form q(t) (@G), is studied. Using control techniques, the generalized Clarke gradients, feedback laws are established, yielding q and the surface @G with given observed values of the solution on a portion of a ΓΏxed closed surfac
β¦ LIBER β¦
Sensitivity of the inverse wave crest problem
β Scribed by Pearu Peterson; E van Groesen
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 268 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0165-2125
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β¦ Synopsis
In a previous paper [Physica D 141 (3-4) (2000) 316], the inverse problem for wave crests was introduced and a solution strategy for two-wave interactions was given. Here these solutions are actually constructed, in particular for the cases with small interaction angle, moderate phase shifts, and/or symmetric interactions. Two detailed examples are presented and analyzed. The sensitivity of the method is investigated, and conclusions about the practical applicability are given.
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