Sergiu Klainerman
Sergiu Klainerman ( born May 13, 1950 in Bucharest ) is a Romanian- American mathematician who deals with Analysis.
Klainerman studied from 1969 to 1974 at the University of Bucharest ( diploma 1973) and then at New York University, where he received his doctorate in 1978 with Fritz John and Louis Nirenberg (Global existence for nonlinear wave equations ). As a post-doc, he was a Miller Fellow at the University of California, Berkeley, and since 1980 Assistant Professor at the Courant Institute of Mathematical Sciences of New York University, where he became Associate Professor in 1983 and Professor in 1986. Since 1987 he is a professor at Princeton University since 1991 as a Fine Professor of Mathematics and since 2001 as Thomas D. Jones Professor of Mathematical Physics. He has been a visiting professor at Stanford University, the University of Paris VI, Pierre et Marie Curie, ( Blaise Pascal Chair 1997-1999 ), the IHES, the Ecole Polytechnique and Ecole Normale Superieure, at the Weizmann Institute and the Hebrew University in Israel in Beijing, Kyoto, in Rome, the Scuola Normale Superiore in Pisa, the ETH Zurich, the Isaac Newton Institute at Cambridge University, the University of Heidelberg, the University of Bonn and the Institute for Advanced Study.
Klainerman deals with partial differential equations and mathematical physics, where he worked on the mathematics of black holes and other mathematical aspects of general relativity. With Demetrios Christodoulou 1990 he proved the global stability of the Minkowski space.
In 1999 he received the Bôcher Memorial Prize with Christodolou. He received the award for his work on nonlinear hyperbolic differential equations, especially his work mentioned above with Christodolou and his fundamental work with M. Machedon on well-posedness ( the Cauchy problem ) and global stability issues for nonlinear wave equations (such as Yang-Mills equations, wave maps, Maxwell -Klein- Gordon equation ) and for central they introduced zero - forms condition. They went there of space-time estimates of Strichartz type from developed this further by exploiting the zero - forms structure of the considered nonlinear wave equations.
Since 2005 he is a member of the National Academy of Sciences, the American Academy of Arts and Sciences and in 2002 a foreign member of the French Academy of Sciences. 1997/98 he was a Guggenheim Fellow, 1983-1985 Sloan Fellow and 1991 to 1996 MacArthur Fellow. In 1983 he was invited speaker at the ICM in Warsaw ( Long time behavior of solutions of nonlinear wave equations ). 1993 to 1999 he was editor of the American Journal of Mathematics.
His doctoral counts Gustavo Ponce.
Writings
- With Jean Bourgain, Carlos Kenig: Mathematical aspects of nonlinear dispersive equations, Princeton University Press 2007
- Demetrios Christodoulou with: The global nonlinear stability of Minkowski space, Princeton Mathematical Series Bd.41, 1993
- With Francesco Nicolò: The evolution in general relativity Problem, Birkhäuser 2003