Sur l'existence des opérateurs d'onde pour l'équation de Wigner dans les espaces L2,pExistence of wave operators for the Wigner equation in L2,p spaces |
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| Authors: | Hassan Emamirad Philippe Rogeon |
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| Institution: | Laboratoire de modélisation mécanique et de mathématiques appliquées, Université de Poitiers, boulevard Marie et Pierre Curie, téléport 2, BP 30179, 86962 Futuroscope cedex, France |
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| Abstract: | Basing on the formalism established by Markovich, we show the completeness of wave operators for the Wigner equation in L2. In the second part, using estimations proved by Castella and Perthame on the one hand, and the Lp→Lq estimations for the Schrödinger group on the other hand, we prove the existence of the wave operators in L2,p spaces. To cite this article: H. Emamirad, P. Rogeon, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 811–816. |
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