Vladimir_Marchenko Knowpia

Vladimir Alexandrovich Marchenko (Russian: Влади́мир Алекса́ндрович Ма́рченко, Ukrainian: Володи́мир Олекса́ндрович Ма́рченко; born 7 July 1922) is a Soviet and Ukrainian mathematician who specializes in mathematical physics.^[1]

BiographyEdit

Vladimir Marchenko was born in Kharkiv in 1922. He defended his PhD thesis in 1948 under the supervision of Naum Landkof, and in 1951 he defended his DSc thesis. He worked in Kharkiv University until 1961. For 4 decades, he headed the Mathematical Physics Department at the B Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.

He was awarded the Lenin Prize in 1962, the N. N. Krylov Prize in 1980, the State Prize of the Ukrainian SSR in 1989, and the N. N. Bogolyubov prize in 1996. Since 1969 he is a member of the National Academy of Sciences of Ukraine, since 1987 of the Russian Academy of Sciences and since 2001 of the Royal Norwegian Society of Sciences and Letters.^[1]

Marchenko turned 100 in July 2022.^[2]

WorkEdit

Differential operatorsEdit

Marchenko made fundamental contributions to the analysis of the Sturm–Liouville operators. He introduced one of the approaches to the inverse scattering problem for Sturm–Liouville operators, and derived what is now called the Marchenko equation.

Random matricesEdit

Together with Leonid Pastur, Vladimir Marchenko discovered the Marchenko–Pastur law in random matrix theory.

HomogenizationEdit

Together with E. Ya. Khruslov, Marchenko authored one of the first mathematical books on homogenization.^[3]

Integrable systemsEdit

NotesEdit

^ ^a ^b Berezanskiĭ, Yu. M.; Zakharov, V. E.; Mitropolʹskiĭ, Yu. A.; Ostrovskii, I. V.; Pastur, L. A.; Pogorelov, A. V.; Rofe-Beketov, F. S.; Skrypnik, I. V.; Khruslov, E. Ya. (2003), "Vladimir Aleksandrovich Marchenko (on the occasion of his eightieth birthday)", Russian Math. Surveys, 58 (4): 813–816, doi:10.1070/rm2003v058n04abeh000660, MR 2042920, S2CID 250847938
^ "Академик Марченко Владимир Александрович 100" [Academician Marchenko Vladimir Alexandrovich 100]. Russian Academy of Sciences (in Russian). 7 July 2022. Retrieved 26 November 2022.
^ Marčenko & Khruslov (1974)

Selected publicationsEdit

Marčenko, V. A.; Khruslov, E. Ya. (1974), Boundary value problems in domains with a fine-grained boundary (in Russian), Kiev: Naukova Dumka, MR 0601059. The second edition was translated into English: Marchenko, V. A.; Khruslov, E. Ya. (2006), Homogenization of partial differential equations, Progress in Mathematical Physics, vol. 46, Boston, MA: Birkhäuser Boston, Inc., ISBN 978-0-8176-4351-5, MR 2182441
Marchenko, V. A. (2011), Sturm-Liouville operators and applications (2 ed.), Providence: American Mathematical Society, doi:10.1090/chel/373, ISBN 978-0-8218-5316-0, MR 2798059.