zbMATH — the first resource for mathematics

On solvability of the linear inverse problem with unknown composite right-hand side in hyperbolic equation. (Russian. English summary) Zbl 1192.35189
Summary: The solvability of the inverse problem with unknown composite right-hand side for a second-order linear hyperbolic equation is studied. The essence of the problem is as follows: it is required to find the unknown right-hand side of the equation together with a solution. The problem is considered in a cylindrical domain, with a set of conditions being typical of first boundary-value problem and with overdetermination conditions over some time-sections $$t=t_1$$, $$t=t_2$$.

MSC:
 35R30 Inverse problems for PDEs
Full Text: