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Generalized wave operators for a system of nonlinear wave equations in three space dimensions

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arxiv 0909.0080 v2 pith:JPZ6BPKV submitted 2009-09-01 math.AP

H. Kubo , K. Kubota This is my paper · ORCID
classification math.AP
keywords wavefinalproblemequationsgeneralizedlongnonlinearoperator
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This paper is concerned with the final value problem for a system of nonlinear wave equations. The main issue is to solve the problem for the case where the nonlinearity is of a long range type. By assuming that the solution is spherically symmetric, we shall show global solvability of the final value problem around a suitable final state, and hence the generalized wave operator and long range scattering operator can be constructed.

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