Arrigo Cellina

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Arrigo Cellina (born August 3, 1941 ) is an Italian mathematician who deals with analysis.

Cellina received her PhD from the University of Maryland (Institute of Hydrodynamics and Applied Mathematics) in 1968. He then went back to Italy, where he taught in Perugia, Florence, Padua and at the University of Milan. He was professor at the Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste (where he was from 1978 to 1996 and headed the Functional Analysis and Applications department) and is professor at the Università degli Studi di Milano - Bicocca .

He is one of the founders of the theory of differential inclusions (generalizations of ordinary differential equations to set-valued functions) and introduced new methods there. He applied them to the calculus of variations and hydrodynamics, among other things . Later he turned to questions of the calculus of variations, such as the validity of the Euler-Lagrange equations , sufficient and necessary conditions for the existence of minima, the regularity of minimizers and others.

From 1999 to 2001 he was director of the International Summer School of Mathematics (CIME) in Florence.

Fonts

  • with Jean-Pierre Aubin : Differential inclusions: set-valued maps and viability theory, Grundlehren der Mathematischen Wissenschaften 264, Springer 1984
  • On the validity of the Euler Lagrange equation, Journal of Differential Equations, Volume 171, 2001, pp. 430-442.
  • with A. Ornelas: Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case, SIAM Journal of Control Optimization, Volume 41, 2002, pp. 331-344.
  • On the Strong Maximum Principle, Proc. Amer. Math. Soc., Vol. 130, 2002, pp. 413-418.
  • On a constrained Dirichlet problem, SIAM Jour. Control Optimization, Vol. 41, 2002, pp. 331-344.
  • with A. Ferriero, EM Marchini: Reparametrizations and Approximate values ​​of Integrals of the Calculus of Variations, Journal of Differential Equations, Volume 193, 2003, pp. 374-384.

literature

  • Vasile Staicu (Ed.): Differential Equations, Chaos and Variational Problems, Springer 2008 (dedicated to Cellina and James Yorke, with biography of Cellina)

Web links

personal data
SURNAME Cellina, Arrigo
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH August 3, 1941