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arXiv · 0909.0080

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

H. Kubo·K. Kubota
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Abstract

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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H. Kubo, K. Kubota. 2009-10-06. Generalized wave operators for a system of nonlinear wave equations in three space dimensions. https://arxiv.org/abs/0909.0080

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