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Ovidiu Savin : ウィキペディア英語版 | Ovidiu Savin
Ovidiu Savin (born January 1, 1977) is a Romanian mathematician who is active in the field of the partial differential equations. ==Scientific activity== Savin received his Ph.D. in mathematics from the University of Texas at Austin in 2003 having Luis Caffarelli as advisor; he is professor of mathematics at Columbia University. Savin is mostly known for his important work on De Giorgi's conjecture about global solutions to certain semilinear equations, that he proved up to dimension 8.〔(【引用サイトリンク】url=http://annals.math.princeton.edu/2009/169-1/p02 )〕 It is to be noticed that the conjecture turns out to be false in higher dimensions, as eventually proved by del Pino, Kowalczyk, and Wei.〔(【引用サイトリンク】url=http://annals.math.princeton.edu/2011/174-3/p03 )〕 Savin has also worked on various regularity questions proving the gradient continuity of solutions to the infinity-Laplacian equation in two dimensions and obtaining results on the boundary regularity of solutions to the Monge–Ampère equation.
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