From Wikipedia, the free encyclopedia
Soviet mathematician (1901–1973)
Ivan Georgiyevich Petrovsky (
Russian: Ива́н Гео́ргиевич Петро́вский; 18 January 1901 – 15 January 1973) 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,
Evgenii Landis,
Olga Oleinik and
Sergei Godunov.
Petrovsky taught at
Steklov Institute of Mathematics. He was a member of the
Academy of Sciences of the Soviet Union since 1946 and was awarded
Hero of Socialist Labour in 1969. He was the president of
Moscow State University (1951–1973) and the head of the
International Congress of Mathematicians (
Moscow, 1966).
He died in Moscow, and was buried in the
Novodevichy Cemetery.
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
0018.40503.
- 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
-
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 & 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 & 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
0948.01042
-
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, 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
0948.01043
External links
|
---|
International | |
---|
National | |
---|
Academics | |
---|
People | |
---|
Other | |
---|