Peter Ebenfelt

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Peter Ebenfelt (* 1965 ) is a Swedish mathematician . He is a professor at the University of California, San Diego (UCSD).

Ebenfelt studied at the Royal Technical University of Stockholm (KTH) with a diploma as a physics engineer in 1990, a licentiate in mathematics in 1992 and a doctorate in mathematics in 1994 with Harold Shapiro ( Selected Problems in the Analysis of Holomorphic Partial Differential Equations ). He was a post-doctoral student at UCSD (with Salah Baouendi and Linda Rothschild ), then was assistant professor at KTH, where he became professor in 2001. He has also been Associate Professor since 2000 and Professor at UCSD since 2002.

He deals with the theory of functions of several complex variables (and there real submanifolds) and partial differential equations . For example, he investigated a complex version of the Huygens principle for the Cauchy problem of elliptic partial differential equations, holomorphic mappings between real submanifolds in complex spaces and the Pompeiu problem (after Dimitrie Pompeiu ).

In 1996 he received the Wallenberg Prize.

Fonts

  • with Baouendi, Rothschild (editor) Real Submanifolds in complex space and their mappings , Princeton University Press 1999
  • with Baouendi, Rothschild Local geometric properties of real submanifolds of complex space , Bulletin AMS, Volume 37, 2000, pp. 309-336, online
  • Editor with Norbert Hungerbühler , Joseph Kohn , Ngaiming Mok, Emil J. Straube: Complex Analysis - Several complex variables and connections with PDE theory and geometry , Birkhäuser, Trends in Mathematics, 2010

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Holomorphic extension of solutions of elliptic partial differential equations and a complex Huygens principle, J. London Math. Soc., Vol. 55, 1997, pp. 87-104