Smoothness of the billiard ball map for strictly convex domains near the boundary
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- by Valery Kovachev PDF
- Proc. Amer. Math. Soc. 103 (1988), 856-860 Request permission
Abstract:
The billiard ball map in bounded strictly convex domains in ${{\mathbf {R}}^n}$ with boundaries of class ${C^k},k \geq 2$, is considered and its smoothness of class ${C^{k - 1}}$ up to the boundary is proved.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 856-860
- MSC: Primary 58F11; Secondary 58F10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947670-1
- MathSciNet review: 947670