Uniqueness of determination of a nonlinear coefficient of a system of partial differential equations in the small and in the large. (English. Russian original) Zbl 0861.35135
Russ. Acad. Sci., Dokl., Math. 50, No. 2, 269-271 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 338, No. 4, 444-445 (1994).
We obtain results on uniqueness of a local solution for inverse problems for systems of nonlinear partial differential equations that describe processes of sorption dynamics. Combination of these results with uniqueness theorems proved in a previous paper enables us to get global uniqueness theorems.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35F10 | Initial value problems for linear first-order PDEs |
| 35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |
| 35A07 | Local existence and uniqueness theorems (PDE) (MSC2000) |
