On the decay properties of solutions to a class of Schr\"odinger equations
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🧮 math.AP
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boundaryclasscoefficientcommutatorconstructdecaydecayingequation
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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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