The L p -continuity of Wave Operators for One Dimensional Schrodinger Operators

By G. Artbazar, K. Yajima. 2000

62 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/630ddec99c49f196f99abeb383b10bf430b406f2

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1. Luca Fanelli
2. Piero D'Ancona
3. Scipio Cuccagna
4. G. Perelman
5. Avi Soffer

Citations in the corpus

• Stabilization of solutions to nonlinear Schrödinger equations (2001, background): “In implementing this idea, we benefit from the considerable number of results [1, 16, 17, 19, 20, 25, 37, 39, 40, 41, 42] (see these papers for further references) concerning decay properties of solutions to i ∂tu + 1u + V(x)u = 0.”
• Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials (2007, methodology): “Besides being a necessary tool to prove the Strichartz estimates, they have also an independent interest (see e.g., Ben-Artzi, 1994; Kato, 1966; Kato and Yajima, 1989).”