Sergio Campanato (17 February 1930 – 1 March 2005) was an

Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Ita ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who studied the theory of regularity for elliptic and parabolic

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

Career

He graduated in mathematics and physics at the University of Modena in the academic year 1952/54 with a thesis relating to the heat equation. In 1956, he became an assistant to

Enrico Magenes Enrico is both an Italian masculine given name and a surname, Enrico means homeowner, or king, derived from ''Heinrich'' of Germanic origin. It is also a given name in Ladino. Equivalents in other languages are Henry ( English), Henri (French), E ...

, with whom he worked on a problem of Picone relating to the equilibrium state of an elastic body, and on other differential equations related to

electrostatics Electrostatics is a branch of physics that studies electric charges at rest (static electricity). Since classical times, it has been known that some materials, such as amber, attract lightweight particles after rubbing. The Greek word for am ...

. In 1964, he moved to the

University of Pisa The University of Pisa ( it, Università di Pisa, UniPi), officially founded in 1343, is one of the oldest universities in Europe. History The Origins The University of Pisa was officially founded in 1343, although various scholars place ...

at the invitation of

Alessandro Faedo Alessandro Faedo (18 November 1913 – 15 June 2001) (also known as Alessandro Carlo Faedo or Sandro Faedo) was an Italian mathematician and politician, born in Chiampo. He is known for his work in numerical analysis, leading to the Faedo–Gal ...

, joining a group of mathematicians which included

Aldo Andreotti Aldo Andreotti (15 March 1924 – 21 February 1980) was an Italian mathematician who worked on algebraic geometry, on the theory of functions of several complex variables and on partial differential operators. Notably he proved the Andreotti–F ...

Jacopo Barsotti Iacopo Barsotti, or Jacopo Barsotti (Turin, 28 April 1921 – Padua, 27 October 1987) was an Italian mathematician who introduced Barsotti–Tate groups. In 1942 he graduated from the Scuola Normale Superiore in Pisa, and became assistant professo ...

Enrico Bombieri Enrico Bombieri (born 26 November 1940, Milan) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory. Bombieri is currently Professor Emeritus in the School of Mathe ...

, Gianfranco Capriz, Ennio De Giorgi,

Giovanni Prodi Giovanni Prodi (28 July 1925 – 29 January 2010) was an Italian mathematician, also known for many activities concerning the teaching of mathematics. There is a professorship of mathematics at the University of Würzburg named in his honour, cre ...

Edoardo Vesentini Edoardo Vesentini (31 May 1928 – 28 March 2020) was an Italian mathematician and politician who introduced the Andreotti–Vesentini theorem. He was awarded the Caccioppoli Prize in 1962. Vasentini was born in Rome , established_titl ...

, and

Guido Stampacchia Guido Stampacchia (26 March 1922 – 27 April 1978) was an Italian mathematician, known for his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations.. Life and academ ...

, with whom Campanato collaborated fruitfully. From 1975 until 2000 he taught Nonlinear Analysis at the

Scuola Normale Superiore di Pisa The Scuola Normale Superiore in Pisa (commonly known in Italy as "la Normale") is a public university in Pisa and Florence, Tuscany, Italy, currently attended by about 600 undergraduate and postgraduate (PhD) students. It was founded in 1810 wi ...

. He died in Pisa on 1 March 2005.

Honors

*In 1985, the

Accademia dei Lincei The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini, Rome, Palazzo Corsini on the Vi ...

awarded him the "Premio Linceo" prize for his work on the regularity of nonlinear problems as relating to his eponymous

Morrey–Campanato space In mathematics, the Morrey–Campanato spaces (named after Charles B. Morrey, Jr. and Sergio Campanato) L^(\Omega) are Banach spaces which extend the notion of functions of bounded mean oscillation, describing situations where the oscillation of th ...

s. *In 2000, a conference was held in honor of his 70th birthday at SNS Pisa. *In 2006, there was a conference held to commemorate his work at

Erice Erice (; scn, Èrici) is a historic town and ''comune'' in the province of Trapani, Sicily, in southern Italy. Geography The main town of Erice is located on top of Mount Erice, at around above sea level, overlooking the city of Trapani, t ...

Sicily (man) it, Siciliana (woman) , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = Ethnicity , demographics1_footnotes = , demographi ...

Selected works

*''Sui problemi al contorno relativi al sistema di equazioni differenziali dell'elastostatica piana.'' Rend. Sem. Mat. Univ. Di Padova 1956 XXV pp. 307–342 *''Osservazioni sul problema di trasmissione per equazioni differenziali lineari del secondo ordine'', Edizioni dell'Università di Genova, 1960. *Sergio Campanato,

, ''Sulle maggiorazioni in Lp nella teoria delle equazioni ellittiche'', Bollettino dell'Unione Matematica Italiana, Serie 3, Vol. 20 (1965), n.3, p. 393–399. Bologna, Zanichelli, 1965. *''Lezioni di analisi matematica'', Pisa, Libreria scientifica Giordano Pellegrini, 1966. *''Sistemi ellittici in forma divergenza: regolarità all'interno'', Pisa, edizioni della Scuola Normale Superiore, 1980. *''Regolarità Hölderiana parziale delle soluzioni di una classe di sistemi ellittici non lineari del secondo ordine'', Bari, Laterza, 1982: *''Recent regularity results for H1,q-solutions on non linear elliptic systems'', Volume 186 di Conferenze del Seminario di matematica dell'Università di Bari, Bari, Laterza, 1983. *''Teoria ... e sistemi parabolici non lineari'', Volume 196 di Conferenze del Seminario di Matematica dell'Università di Bari, Bari Laterza, 1984. *''Non variational basic parabolic systems of second order-(Sistemi parabolici base non variazionali del 2º ordine)'', in: Atti dell'Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 2, fasc. n.2, p. 129–136, 1991. *''Attuale formulazione della teoria degli operatori vicini e attuale definizione di operatore ellittico'', Le Matematiche, Vol. LI (1996) Fasc. II, pp. 291–298, 1996.

References

*Gary M. Lieberman, ''Second Order Parabolic Differential Equations'', World Scientific Pub Co, 1996. *''Convegno sulle Equazioni a Derivate Parziali: per i 70 anni di Sergio Campanato'', Scuola Normale Superiore di Pisa, 25–26 February 2000. Pisa, Edizioni del Dipartimento di Matematica e Informatica dell'Univ. in collaborazione con Sergio Campanato. 2000. *Wen Yuan, Winfried Sickel, Dachun Yang, ''Morrey and Campanato meet Besov, Lizorkin and Triebel'', London-New York, Springer, 2005.

External links

* {{DEFAULTSORT:Campanato, Sergio 20th-century Italian mathematicians PDE theorists 1930 births 2005 deaths Scientists from Venice University of Modena alumni