Generalized wave operators for a system of semilinear wave equations in three space dimensions (Q1946865)

The authors studied extensively the final value problem for a system of semilinear wave equations. The main issue is to solve the problem when the nonlinearity is of a long-range type. By assuming that the solution is spherically symmetric, they have proved that the global solvability of the final value problem around a suitable final state, and hence, explained the methodology of constructing the generalized wave operator and long range-scattering operator.