On the existence of the Moller wave operator for wave equations with small dissipative terms

Details On the existence of the Moller wave operator for wave equations with small dissipative terms On the existence of the Moller wave operator for wave equations with small dissipative terms

2002-10-07

arxiv.org/abs/math/0210098v2

Mathematics

Analysis of PDEs

7 pages, 1 figure some minor modifications, second corollary included

Scientific paper

The aim of this short note is to reconsider and to extend a former result of K. Mochizuki on the existence of the scattering operator for wave equations with small dissipative terms. Contrary to the approach used by Mochizuki we construct the wave operator explicitly in terms of the parametrix construction obtained by a (simplified) diagonalization procedure. The method is based on ODE techniques.

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