On some inverse problems for a nonlinear transport equation
Degree GrantorUniversity of Canterbury
Degree NameResearch report
Inverse problems for nonlinear transport or one-way wave equation are considered. Analytic solutions to the inverse problems are given and it is shown, for some signalling problems, that the inverse problem of determination of a wavespeed functional is well-posed, and that the wavespeed can be uniquely determined. However, it is shown that· the inverse problems of reconstruction of a source functional are ill-posed, although the source is still uniquely determined.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports