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arxiv: 1808.02906 · v1 · pith:S5WTAH7Dnew · submitted 2018-08-08 · 🧮 math.AP

L^p-estimates for the Schr\"odinger equation associated to the harmonic oscillator

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keywords associatedequationestimatesharmonicodingeroscillatorschrsome
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In this paper we obtain some Strichartz estimates for the Schr\"odinger equation associated to the harmonic oscillator and the Laplacian. Our main tool will be some embeddings between Lebesgue spaces and suitable Triebel-Lizorkin spaces.

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