Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity
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概要
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In the present paper we consider Schrödinger equations with variable coefficients and potentials, where the principal part is a long-range perturbation of the flat Laplacian and potentials have at most linear growth at spatial infinity. We then prove local-in-time Strichartz estimates, outside a large compact set centered at origin, without loss of derivatives. Moreover we also prove global-in-space Strichartz estimates under the non-trapping condition on the Hamilton flow generated by the kinetic energy.
- The Mathematical Society of Japanの論文
The Mathematical Society of Japan | 論文
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