Ivan Petrovsky

Summary

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.

Ivan G. Petrovsky
Stamp of USSR 4309.jpg
Ivan G. Petrovsky portrayed on a Soviet stamp
Born(1901-01-18)18 January 1901
Died15 January 1973(1973-01-15) (aged 71)
Alma materMoscow State University
Known forHyperbolic partial differential equations
Kolmogorov–Petrovsky–Piskunov equation
Petrovsky lacuna
Scientific career
InstitutionsMoscow State University
Steklov Institute of Mathematics
Doctoral advisorDmitri Egorov
Doctoral studentsOlga Ladyzhenskaya
Yevgeniy Landis
Olga Oleinik
Sergei Godunov
Aleksei Filippov

BiographyEdit

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 publicationsEdit

  • 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 0018.40503.
  • 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 0022.22601.
  • 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.
  • Petrovsky, I. G. (1953), Vorlesungen über die Theorie der Integralgleichungen, Würzburg: Physica Verlag[1]
  • Petrovsky, I. G. (1954), Lectures on partial differential equations, New York: Interscience[2]
  • Petrovsky, I. G. (1954), Vorlesungen über der gewöhnlichen Differentialgleichungen, Teubner
  • Petrovsky, I. G. (1957), Lectures on the theory of integral equations, Rochester: Graylock|[3]
  • Petrowsky, I. G. (1996), Oleinik, O. A. (ed.), Selected works. Part I: Systems of partial differential equations and algebraic geometry, Classics of Soviet Mathematics, vol. 5 (part 1), Amsterdam: Gordon and Breach Publishers, ISBN 978-2-88124-978-5, MR 1677652, Zbl 0948.01042.
  • Petrowsky, I. G. (1996), Oleinik, O. A. (ed.), Selected works. Part II: Differential equations and probability theory, Classics of Soviet Mathematics, vol. 5 (part 2), Amsterdam: Gordon and Breach Publishers, ISBN 978-2-88124-979-2, MR 1677648, Zbl 0948.01043.

ReferencesEdit

  1. ^ Pollard, Harry (1954). "Book Review: Vorlesungen über die Theorie der Integralgleichungen". Bulletin of the American Mathematical Society. 60 (3): 288–289. doi:10.1090/S0002-9904-1954-09817-8. ISSN 0002-9904.
  2. ^ Bellman, Richard (1955). "Book Review: Lectures on partial differential equations by I. G. Petrovsky". Bulletin of the American Mathematical Society. 61 (4): 367–370. doi:10.1090/S0002-9904-1955-09957-9.
  3. ^ Barrett, John H. (1961). "Book Review: Lectures on the theory of integral equations by I. G. Petrovskii". Bulletin of the American Mathematical Society. 67 (4): 333–335. doi:10.1090/S0002-9904-1961-10596-X.

External linksEdit