# Ivan Petrovsky

Ivan G. Petrovsky | |
---|---|

Born | Sevsk, Russian Empire |
18 January 1901

Died | 15 January 1973 Moscow, USSR |
(aged 71)

Institutions | Moscow State University Steklov Institute of Mathematics |

Alma mater | Moscow State University |

Doctoral advisor | Dmitri Egorov |

Doctoral students | Olga Ladyzhenskaya Yevgeniy Landis Olga Oleinik Sergei Godunov Aleksei Filippov |

Known for | KPP type equation |

**Ivan Georgievich Petrovsky**, (Russian: Ива́н Гео́ргиевич Петро́вский) (18 January 1901 – 15 January 1973) (the family name is also transliterated as **Petrovskii** or **Petrowsky**), was a Soviet mathematician working mainly in the field of partial differential equations. He greatly contributed to the solution of Hilbert's 19th and 16th problems, and discovered what are now called Petrovsky lacunas. He also worked on the theories of boundary value problems, probability, and on the topology of algebraic curves and surfaces.

## Biography

Petrovsky was a student of Dmitri Egorov. Among his students were Olga Ladyzhenskaya, Yevgeniy Landis, Olga Oleinik and Sergei Godunov.

Petrovsky taught at Steklov Institute of Mathematics. He was a member of the Soviet Academy of Sciences since 1946 and was awarded Hero of Socialist Labor in 1969. He was the president of Moscow State University (1951 — 1973) and the head of the International Congress of Mathematicians (Moscow, 1966). He is buried in the cemetery of the Novodevichy Convent in Moscow.

## Selected publications

- Petrovsky, I. G. (1937), "Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen",
*Recueil Mathématique (Matematicheskii Sbornik)*(in German), 2 (44) (5): 815–870, JFM 63.0466.03, Zbl 0018.40503CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Petrovsky, I. G. (1939), "Sur l'analyticité des solutions des systèmes d'équations différentielles",
*Recueil Mathématique (Matematicheskii Sbornik)*(in French), 5 (47) (1): 3–70, JFM 65.0405.02, MR 0001425, Zbl 0022.22601CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Petrovsky, I. G. (1945), "On the diffusion of waves and the lacunas for hyperbolic equations",
*Recueil Mathématique (Matematicheskii Sbornik)*, 17 (59) (3): 289–368, MR 0016861, Zbl 0061.21309<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Petrowsky, I. G. (1996), Oleinik, O. A. (ed.),
*Selected works. Part I: Systems of partial differential equations and algebraic geometry*, Classics of Soviet Mathematics, 5 (part 1), Amsterdam: Gordon and Breach Publishers, ISBN 2-88124-978-7, MR 1677652, Zbl 0948.01042<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Petrowsky, I. G. (1996), Oleinik, O. A. (ed.),
*Selected works. Part II: Differential equations and probability theory*, Classics of Soviet Mathematics, 5 (part 2), Amsterdam: Gordon and Breach Publishers, ISBN 2-88124-979-5, MR 1677648, Zbl 0948.01043<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.

## See also

- Hyperbolic partial differential equation
- Kolmogorov–Petrovsky–Piskunov equation
- Partial differential equation
- Petrovsky lacuna

## References

- Aleksandrov, P. S.; Arnol'd, V. I.; Gel'fand, I. M.; Kolmogorov, A. N.; Novikov, S. P.; Oleinik, O. A. (2001), "Ivan Georgievich Petrovskii", in Osipov, Yu. S.; Sadovnichii, V. A. (eds.),
*Differential Equations and Related Topics - dedicated to the 100th Anniversary of I.G. Petrovskii*, Moscow: Lomonosov State University and Steklov Mathematical Institute, pp. 1–18, retrieved 1 September 2009<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. A very ample paper describing Petrovsky's scientific research, authored by friends, collaborators and pupils. - Aleksandrov, P. S.; Oleinik, O. A. (1981), "On the eightieth anniversary of the birth of Ivan Georgievich Petrovskii",
*Uspekhi Matematicheskikh Nauk*(in Russian),**36**(1(217)): 3–10, doi:10.1070/rm1981v036n01abeh002539, MR 0608939, Zbl 0454.01022CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>: the original paper translated in (Alexandrov & Oleinik 1996), and also in the Russian Mathematical Surveys, 1981, 36:1, 1–8. - Alexandrov, P. S.; Oleinik, O. A. (1996), "Ivan Georgievich Petrowsky", in Oleinik, O. A. (ed.),
*Selected works. Part II: Differential equations and probability theory*, Classics of Soviet Mathematics, 5 (part 2), Amsterdam: Gordon and Breach Publishers, pp. 1–9, ISBN 2-88124-979-5, MR 1677648, Zbl 0948.01043<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>: an English translation of the paper (Aleksandrov & Oleinik 1981). - Kolmogorov, A. N. (1996), "Ivan Georgievich Petrowsky", in Oleinik, O. A. (ed.),
*Selected works. Part I: Systems of partial differential equations and algebraic geometry*, Classics of Soviet Mathematics, 5 (part 1), Amsterdam: Gordon and Breach Publishers, pp. 1–3, ISBN 2-88124-978-7, MR 1677652, Zbl 0948.01042<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> - Lui, S. H. (1997), "An Interview with Vladimir Arnol´d" (PDF),
*Notices of the American Mathematical Society*,**44**(4): 432–438, Zbl 0913.01024<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An interview with Vladimir Igorevich Arnol'd containing several important historical details about his teachers and other great mathematicians he knew when he was first studying and then working at the MSU Faculty of Mechanics and Mathematics, including Ivan Petrowsky. - Oleinik, O. A. (1996), "I. G. Petrowsky and Modern Mathematics", in Oleinik, O. A. (ed.),
*Selected works. Part I: Systems of partial differential equations and algebraic geometry*, Classics of Soviet Mathematics, 5 (part 1), Amsterdam: Gordon and Breach Publishers, pp. 4–30, ISBN 2-88124-978-7, MR 1677652, Zbl 0948.01042<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>

- Gårding, L. (1996), "Ivan Georgievich Petrowsky and Partial Differential Equations", in Oleinik, O. A. (ed.),
*Selected works. Part I: Systems of partial differential equations and algebraic geometry*, Classics of Soviet Mathematics, 5 (part 1), Amsterdam: Gordon and Breach Publishers, pp. 31–39, ISBN 2-88124-978-7, MR 1677652, Zbl 0948.01042<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Vol'pert, A. I. (1996), "Propagation of Waves Described by Nonlinear Parabolic Equations (a commentary on article 6)", in Oleinik, O. A. (ed.),
*Selected works. Part II: Differential equations and probability theory*, Classics of Soviet Mathematics, 5 (part 2), Amsterdam: Gordon and Breach Publishers, pp. 364–399, ISBN 2-88124-979-5, MR 1677648, Zbl 0948.01043<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>

## External links

- Ivan Petrovsky at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Ivan Petrovsky",
*MacTutor History of Mathematics archive*, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. - Short Biography of Petrowsky – from the Moscow Mathematical Journal

- Articles containing Russian-language text
- CS1 maint: unrecognized language
- CS1: long volume value
- 1901 births
- 1973 deaths
- 20th-century mathematicians
- Burials at Novodevichy Cemetery
- Heroes of Socialist Labour
- Full Members of the USSR Academy of Sciences
- Moscow Institute of Physics and Technology faculty
- Moscow State University faculty
- PDE theorists
- Russian mathematicians
- Soviet mathematicians