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On the decay properties of solutions to a class of Schrödinger equations |
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| Authors: | L. Dawson H. McGahagan G. Ponce |
| Affiliation: | Department of Mathematics, University of Arizona, Tucson, Arizona 85721-0089 ; Department of Mathematics, University of California, Santa Barbara, California 93106 ; Department of Mathematics, University of California, Santa Barbara, California 93106 |
| Abstract: | We construct a local in time, exponentially decaying solution of the one-dimensional variable coefficient Schrödinger equation by solving a nonstandard boundary value problem. A main ingredient in the proof is a new commutator estimate involving the projections  onto the positive and negative frequencies. |
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