Sergiu Klainerman

Biography

Major publications

• Klainerman, Sergiu; Majda, Andrew. Compressible and incompressible fluids. Comm. Pure Appl. Math. 35, no. 5, 629–651.
• Klainerman, Sergiu. Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Comm. Pure Appl. Math. 38, no. 5, 631–641.
• Klainerman, Sergiu. Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math. 38, no. 3, 321–332.
• Klainerman, S. The null condition and global existence to nonlinear wave equations. Nonlinear systems of partial differential equations in applied mathematics, Part 1, 293–326, Lectures in Appl. Math., 23, Amer. Math. Soc., Providence, RI, 1986.
• Klainerman, S.; Machedon, M. Space-time estimates for null forms and the local existence theorem. Comm. Pure Appl. Math. 46, no. 9, 1221–1268.
• Klainerman, S.; Machedon, M. Smoothing estimates for null forms and applications. A celebration of John F. Nash, Jr. Duke Math. J. 81, no. 1, 99–133.
• Klainerman, Sergiu; Sideris, Thomas C. On almost global existence for nonrelativistic wave equations in 3D. Comm. Pure Appl. Math. 49, no. 3, 307–321.

  Books

• Christodoulou, Demetrios; Klainerman, Sergiu. The global nonlinear stability of the Minkowski space. Princeton Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp.
• Klainerman, Sergiu; Nicolò, Francesco. The evolution problem in general relativity. Progress in Mathematical Physics, 25. Birkhäuser Boston, Inc., Boston, MA, 2003. xiv+385 pp.