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Ivan Petrovsky

October 14, 2023

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
Ivan G. Petrovsky portrayed on a Soviet stamp
Born(1901-01-18)18 January 1901
Sevsk, Russian Empire
Died15 January 1973(1973-01-15) (aged 71)
Moscow, USSR
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

Biography Edit

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 Edit

  • 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.

References Edit

  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 links Edit

 
Wikimedia Commons has media related to Ivan Petrovsky.

October 14, 2023
ivan, petrovsky, this, article, includes, list, general, references, lacks, sufficient, corresponding, inline, citations, please, help, improve, this, article, introducing, more, precise, citations, march, 2019, learn, when, remove, this, template, message, iv. This article includes a list of general references but it lacks sufficient corresponding inline citations Please help to improve this article by introducing more precise citations March 2019 Learn how and when to remove this template message Ivan Georgievich Petrovsky Russian Iva n Geo rgievich Petro vskij 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 PetrovskyIvan G Petrovsky portrayed on a Soviet stampBorn 1901 01 18 18 January 1901Sevsk Russian EmpireDied15 January 1973 1973 01 15 aged 71 Moscow USSRAlma materMoscow State UniversityKnown forHyperbolic partial differential equationsKolmogorov Petrovsky Piskunov equationPetrovsky lacunaScientific careerInstitutionsMoscow State UniversitySteklov Institute of MathematicsDoctoral advisorDmitri EgorovDoctoral studentsOlga Ladyzhenskaya Yevgeniy Landis Olga Oleinik Sergei GodunovAleksei Filippov Contents 1 Biography 2 Selected publications 3 References 4 External linksBiography EditPetrovsky 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 EditPetrovsky I G 1937 Uber das Cauchysche Problem fur Systeme von partiellen Differentialgleichungen Recueil Mathematique Matematicheskii Sbornik in German 2 44 5 815 870 JFM 63 0466 03 Zbl 0018 40503 Petrovsky I G 1939 Sur l analyticite des solutions des systemes d equations differentielles Recueil Mathematique 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 Mathematique Matematicheskii Sbornik 17 59 3 289 368 MR 0016861 Zbl 0061 21309 Petrovsky I G 1953 Vorlesungen uber die Theorie der Integralgleichungen Wurzburg Physica Verlag 1 Petrovsky I G 1954 Lectures on partial differential equations New York Interscience 2 Petrovsky I G 1954 Vorlesungen uber der gewohnlichen 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 References Edit Pollard Harry 1954 Book Review Vorlesungen uber 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 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 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 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 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 Bibcode 1981RuMaS 36Q 1A doi 10 1070 rm1981v036n01abeh002539 MR 0608939 S2CID 250833608 Zbl 0454 01022 the original paper translated in Alexandrov amp 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 vol 5 part 2 Amsterdam Gordon and Breach Publishers pp 1 9 ISBN 978 2 88124 979 2 MR 1677648 Zbl 0948 01043 an English translation of the paper Aleksandrov amp 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 vol 5 part 1 Amsterdam Gordon and Breach Publishers pp 1 3 ISBN 978 2 88124 978 5 MR 1677652 Zbl 0948 01042 Lui S H 1997 An Interview with Vladimir Arnol d PDF Notices of the American Mathematical Society 44 4 432 438 Zbl 0913 01024 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 vol 5 part 1 Amsterdam Gordon and Breach Publishers pp 4 30 ISBN 978 2 88124 978 5 MR 1677652 Zbl 0948 01042Garding 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 vol 5 part 1 Amsterdam Gordon and Breach Publishers pp 31 39 ISBN 978 2 88124 978 5 MR 1677652 Zbl 0948 01042 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 vol 5 part 2 Amsterdam Gordon and Breach Publishers pp 364 399 ISBN 978 2 88124 979 2 MR 1677648 Zbl 0948 01043External links Edit nbsp Wikimedia Commons has media related to Ivan Petrovsky 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 Short Biography of Petrowsky from the Moscow Mathematical Journal Retrieved from https en wikipedia org w index php title Ivan Petrovsky amp oldid 1161186044, wikipedia, wiki, book, books, library,

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