arXiv:0909.0080 Abstract | arXiv Analytics

arXiv:0909.0080 [math.AP]Abstract References Reviews Resources

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

Published 2009-09-01, updated 2009-10-06Version 2

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.

Comments: 24 pages

Categories: math.AP

Subjects: 35L70, 35B40

Keywords: nonlinear wave equations, generalized wave operator, space dimensions, final value problem, long range scattering operator

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