Existence of local solutions for the Boltzmann equation without angular cutoff |
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Authors: | Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang |
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Institution: | 1. École navale, IRENAV, BRCM Brest, cc 600, 29240 Brest, France;2. Kyoto University, Japan;3. Yokohama, Japan;4. Université de Rouen, France;5. City University, Hong Kong |
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Abstract: | We consider the spatially inhomogeneous Boltzmann equation without angular cutoff. We prove the existence and uniqueness of local classical solutions to the Cauchy problem, in the function space with Maxwellian type exponential decay with respect to the velocity variable. To cite this article: R. Alexandre et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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