Abstract
In the framework of the local existence and uniqueness theory for the spatially inhomogeneous Boltzmann equation developed in a recent paper [1], it is proved that the solution is continuous with respect to small variations in the initial data.
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References
Kaniel, S., Shinbrot, M., Comm. Math. Phys. 58, 65–84 (1978).
Treves, F., Topological Vector Spaces, Distribution and Kernels, Academic Press, New York, San Francisco, London, 1967.
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Semenzato, R. The Boltzmann equation: Continuity of the solution with respect to initial data. Lett Math Phys 4, 123–130 (1980). https://doi.org/10.1007/BF00417504
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DOI: https://doi.org/10.1007/BF00417504