Abstract
We study a class of infinite games which turns out to be closely related to Banach space geometry. Using one of these games, we construct a bounded, differentiable, almost everywhere solution of the Eikonal equation \\∇ u\\ = 1 on ℝd, with d ≥ 2.
Original language | English (US) |
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Pages (from-to) | 49-68 |
Number of pages | 20 |
Journal | Proceedings of the London Mathematical Society |
Volume | 95 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2007 |
ASJC Scopus subject areas
- General Mathematics