Wave operators on Sobolev spaces

Haruya Mizutani

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arXiv · 1903.01719

Wave operators on Sobolev spaces

Haruya Mizutani

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Abstract

We provide a simple sufficient condition in an abstract framework to deduce the existence and completeness of wave operators (resp. modified wave operators) on Sobolev spaces from the existence and completeness of the usual wave operators (resp. modified wave operators). We then give some examples of Schrödinger operators to which our abstract result applies. An application to scattering theory for the nonlinear Schrödinger equation with a potential is also given.

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Haruya Mizutani. 2019-09-04. Wave operators on Sobolev spaces. https://arxiv.org/abs/1903.01719

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