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Existence of local solutions for the Boltzmann equation without angular cutoff
Authors:Radjesvarane Alexandre  Yoshinori Morimoto  Seiji Ukai  Chao-Jiang Xu  Tong Yang
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
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).
Keywords:
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