# Sergei Sobolev

Sergei Lvovich Sobolev | |
---|---|

Sergei L. Sobolev in Nice in 1970 | |

Born |
Saint Petersburg, Russian Empire | 6 October 1908

Died |
3 January 1989 80) Moscow, Soviet Union | (aged

Citizenship | Russian |

Fields | Mathematics |

Institutions |
Steklov Institute of Mathematics, Moscow State University, Kurchatov Institute, Sobolev Institute |

Alma mater | Leningrad University, 1929 |

Doctoral advisor | Nikolai Günther |

Known for | Sobolev space, generalized functions |

Influenced | Functional analysis, partial differential equations |

Notable awards | 1941, 1951, 1953 Stalin Prize, 1986 USSR State Prize, Hero of Socialist Labor 1951, Lomonosov Gold Medal 1988 (posthumously) |

**Sergei Lvovich Sobolev** (Russian: Серге́й Льво́вич Со́болев; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations. He was born in St. Petersburg, and died in Moscow.^{[1]}

## Work

Sobolev introduced the notions that are now fundamental for several areas of mathematics. Sobolev spaces can be defined by some growth conditions on the Fourier transform. They and their embedding theorems are an important subject in functional analysis. Generalized functions (later known as distributions) were first introduced by Sobolev in 1935 for weak solutions, and further developed by Laurent Schwartz. Sobolev abstracted the classical notion of differentiation, so expanding the range of application of the technique of Newton and Leibniz. The theory of distributions is considered now as the calculus of the modern epoch.^{[2]}

## Life

Sobolev graduated from Leningrad University in 1929, where he was a student of Nikolai Maksimovich Günter. After graduation he worked with Vladimir Smirnov, whom he considered as his second teacher. He worked in Leningrad from 1932, and at the Steklov Institute of Mathematics in Moscow from 1934. He headed the institute in evacuation to Kazan during World War II. He was a Moscow State University professor from 1935 to 1957 and also a deputy director of the Institute for Atomic Energy 1943–57 where he participated in the A-bomb project of the USSR.

In 1956 Sobolev joined a number of scientists in proposing a large-scale scientific and educational initiative for the Eastern parts of the Soviet Union, which resulted in the creation of the Siberian Division of the Academy of Sciences. He was the founder and first director of the Institute of Mathematics at Akademgorodok near Novosibirsk, which was later to bear his name, and played an important role in the establishment and development of Novosibirsk State University.

In 1962 he called for a reform of the Soviet education system.^{[3]}

## See also

- Sobolev conjugate
- Sobolev embedding theorem
- Sobolev generalized derivative
- Sobolev inequality
- Sobolev space

## Notes

- ↑ O'Connor, J J. "Sergei Lvovich Sobolev".
- ↑ e.g. Friedman, A. (1970).
*Foundations of modern analysis*. Courier Corporation, p. iii - ↑ Berg A., (1964), 'Cybernetics and Education' in
*The Anglo-Soviet Journal*, March 1964, pp. 13–20

## References

- Sobolev, Sergei L. (1936), "Méthode nouvelle à résoudre le problème de Cauchy pour les équations linéaires hyperboliques normales",
*Rec. Mat. (Matematicheskiĭ Sbornik)*, 1(43) (1): 39–72, Zbl 0014.05902 External link in`|journal=`

(help) (in French). The paper where Sergei Sobolev introduces generalized functions, applying them to the problem of solving linear hyperbolic partial differential equations. - Sobolev, Sergei L. (1938), "Sur un théorème d'analyse fonctionnelle",
*Rec. Mat. (Matematicheskiĭ Sbornik)*, 4(46) (3): 471–497, Zbl 0022.14803 External link in`|journal=`

(help) (in Russian, with French summary). The paper where Sergei Sobolev proved his embedding theorem, introducing and using integral operators very similar to mollifiers, without naming them.

## Bibliography

- O'Connor, John J.; Robertson, Edmund F., "Sergei Sobolev",
*MacTutor History of Mathematics archive*, University of St Andrews. *Sergei Lvovich Sobolev.*, in: Russian Mathematicians in the 20th Century (Yakov Sinai, editor), pp. 381–382. World Scientific Publishing, 2003. ISBN 978-981-238-385-3- Jean Leray.
*La vie et l'œuvre de Serge Sobolev*. [The life and works of Sergeĭ Sobolev]. Comptes Rendus de l'Académie des Sciences. Série Générale. La Vie des Sciences, vol. 7 (1990), no. 6, pp. 467–471. - G. V. Demidenko.
*A GREAT MATHEMATICIAN OF 20th CENTURY. On the occasion of the centenary from the birthdate of Sergei Lvovich Sobolev*. Science in Siberia, no. 39 (2674), 2 October 2008 - M. M. Lavrent'ev, Yu. G. Reshetnyak, A. A. Borovkov, S. K. Godunov, T. I. Zelenyak and S. S. Kutateladze.
*Remembrances of Sergei L'vovich Sobolev.*Siberian Mathematical Journal, vol. 30 (1989), no. 3, pp. 502–504 doi:10.1007/BF00971511

## External links

- Sergei Sobolev at the Mathematics Genealogy Project
- Sobolev Institute of Mathematics
- Kutateladze S.S., Sobolev and Schwartz: Two Fates and Two Fames
- Kutateladze S.S., Sobolev of the Euler school
- ru:Соболев, Сергей Львович
- Sobolev`s Biography in Russian