Guido Stampacchia

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Guido Stampacchia

Guido Stampacchia (born March 26, 1922 in Naples , † April 27, 1978 in Paris ) was an Italian mathematician who dealt with analysis.

Life

Stampacchia was the son of a small ironmongery owner who was forced to sell it under Mussolini. From 1940 he studied at the Scuola Normale Superiore in Pisa . In March 1943 he was drafted into the Italian Air Force, but graduated in the summer of 1943 and then joined the Italian resistance. In 1944 he won a scholarship at the University of Naples , where he received his diploma (Laurea) from Renato Caccioppoli (and Leonida Tonelli , who had taught him in Pisa). In 1945 he passed the final exams at the Scuola Normale Superiore in Pisa. He became an assistant at the Naval Institute in Naples, where he taught analysis (as well as at the university where he taught on a voluntary basis). In 1949 he became an assistant professor in Naples and in 1951 he completed his habilitation (Libera docenza). In 1952 he won a national competition for the professorship at the University of Palermo , but in the same year went to the University of Genoa , where he received a full professorship in 1955. In 1966 he was awarded an Antonio Feltrinelli Prize . In 1968 he became a professor at the University of Rome (La Sapienza) and in 1970 at the University of Pisa . He died of a heart attack in Paris. Among other things, he was visiting scholar at the Collège de France and the Courant Institute of Mathematical Sciences of New York University .

He dealt with the calculus of variations, functional analysis and ordinary and partial differential equations. Together with Gaetano Fichera, he is the founder of the theory of the inequalities of variation. While Fichera started out from a problem of elasticity theory (Signorini problem) in 1963, Stampacchia's starting point was the regularity theory of partial differential equations. In 1964 he generalized Lax-Milgram's theorem and coined the term inequality of variation. Soon afterwards he gave the theory a more abstract version with Jacques-Louis Lions (theorem of Lions and Stampacchia)

In 1967 he became president of the Unione Matematica Italiana . In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Variational inequalities ) and in 1962 in Stockholm ( Second order elliptic equations and boundary value problems ).

He had been married to Sara Naldini since 1948, with whom he had four children.

The Stampacchia medal is named in his honor .

Fonts

  • with David Kinderlehrer : An introduction to variational inequalities and their applications (= Pure and Applied Mathematics. 88). Academic Press, New York NY et al. 1980, ISBN 0-12-407350-6 .
  • Equations elliptiques du second ordre à coefficients discontinus (= Séminaire de Mathématiques Supérieures. 16, ZDB -ID 261650-6 ). Presses de l'Universite de Montréal, Montréal 1966.
  • with Jaurés P. Cecconi: Lezioni di analisi matematica. 2 volumes. Liguori, Naples 1960.

Web links

Individual evidence

  1. ↑ Formes bilinéaires coercitives sur les ensembles convexes. In: Comptes rendus hebdomadaires des séances de l'Académie des Sciences . Volume 258, Part 3, 1964, pp. 4413-4416 .
  2. ^ Jacques L. Lions , Stampacchia: Variational inequalities. In: Communications on Pure and Applied Mathematics . Volume 20, No. 3, 1967, pp. 493-519, doi : 10.1002 / cpa.3160200302 .
personal data
SURNAME Stampacchia, Guido
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH March 26, 1922
PLACE OF BIRTH Naples
DATE OF DEATH April 27, 1978
Place of death Paris