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arXiv · 0705.0040

On the decay properties of solutions to a class of Schrödinger equations

L. Dawson·H. McGahagan·G. Ponce
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Abstract

We construct a local in time, exponentially decaying solution of the one-dimensional variable coefficient Schrodinger equation by solving a nonstandard boundary value problem. A main ingredient in the proof is a new commutator estimate involving the projections P+ and P- onto the positive and negative frequencies.

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L. Dawson, H. McGahagan, G. Ponce. 2007-04-30. On the decay properties of solutions to a class of Schrödinger equations. https://arxiv.org/abs/0705.0040

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