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

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

2007-04-30

arxiv.org/abs/0705.0040v1

Mathematics

Analysis of PDEs

Scientific paper

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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