Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)

Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday) Differential Equations, Vol. 38, No. 8, 2002, pp. 1075–1080. Translated from Differentsial'nye Uravneniya, Vol. 38, No. 8, 2002, pp. 1011–1016. Original Russian Text Copyright c 2002 by Babich, Danilin, Dobrokhotov, Gadyl'shin, Il'in, Kalyakin, Mishchenko, Novokshenov, Osipov, Ramazanov, Rozov, Sadovnichii. MEMBERS OF SCIENTIFIC COMMUNITY Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday) On January 8, 2002, Arlen Mikhailovich Il'in celebrated his 70th birthday. After graduating with excellence from the famous 59th Moscow secondary school, where many well-known Russian mathematicians studied, in 1949, Il'in entered the Mechanical-Mathematical Department at Moscow State University. His rst scienti c paper [1] represented the results of his diploma work supervised by Ol'ga Arsen'evna Oleinik. There he investigated a boundary value problem for strongly degenerating elliptic equations. Il'in obtained uniform estimates for the solutions and proved the existence and uniqueness theorems using an idea, suggested by Oleinik, of introducing a small parameter and considering a family of elliptic operators converging to the degenerate operator. Most of Il'in's subsequent scienti c achievements are related to the analysis of such problems with a small parameter. The diploma work was later generalized to degenerate parabolic equations in the Ph.D. thesis Il'in defended ahead of schedule, in http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)

Differential Equations , Volume 38 (8) – Oct 10, 2004
Download PDF
6 pages

Loading next page...
 
/lp/springer-journals/arlen-mikhailovich-il-in-a-tribute-in-honor-of-his-70th-birthday-ysft88Fiw2

References (0)

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Springer Journals
Copyright
Copyright © 2002 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1023/A:1021607802411
Publisher site
See Article on Publisher Site

Abstract

Differential Equations, Vol. 38, No. 8, 2002, pp. 1075–1080. Translated from Differentsial'nye Uravneniya, Vol. 38, No. 8, 2002, pp. 1011–1016. Original Russian Text Copyright c 2002 by Babich, Danilin, Dobrokhotov, Gadyl'shin, Il'in, Kalyakin, Mishchenko, Novokshenov, Osipov, Ramazanov, Rozov, Sadovnichii. MEMBERS OF SCIENTIFIC COMMUNITY Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday) On January 8, 2002, Arlen Mikhailovich Il'in celebrated his 70th birthday. After graduating with excellence from the famous 59th Moscow secondary school, where many well-known Russian mathematicians studied, in 1949, Il'in entered the Mechanical-Mathematical Department at Moscow State University. His rst scienti c paper [1] represented the results of his diploma work supervised by Ol'ga Arsen'evna Oleinik. There he investigated a boundary value problem for strongly degenerating elliptic equations. Il'in obtained uniform estimates for the solutions and proved the existence and uniqueness theorems using an idea, suggested by Oleinik, of introducing a small parameter and considering a family of elliptic operators converging to the degenerate operator. Most of Il'in's subsequent scienti c achievements are related to the analysis of such problems with a small parameter. The diploma work was later generalized to degenerate parabolic equations in the Ph.D. thesis Il'in defended ahead of schedule, in

Journal

Differential Equations – Springer Journals

Published: Oct 10, 2004

There are no references for this article.