| Abstract: |
| Let us consider a nonlinearly degenerate domain whose spatial boundaries are determined by time-dependent functions that coincide at the initial moment. In this domain, we investigate inverse problems for the Burgers equation under various combinations of unknown functions and boundary conditions. It is shown that, due to the degeneracy of the domain, the solvability of the proposed inverse problems requires additional conditions. The main objective of this work is to determine conditions under which these inverse problems are uniquely solvable. |
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