Arno Langenbach

Arno Langenbach (born April 10, 1928 , † February 11, 2010 ) was a German mathematician . His research area were methods of functional analysis for the treatment of nonlinear partial differential equations , which originated mainly from mechanics .

Life

Langenbach studied mechanics from 1948 to 1952 at the University of Leningrad (today St. Petersburg ) with a diploma. Then he was an aspirant at the chair for mathematical physics and, under the supervision of Solomon Michlin, worked on a dissertation on elastic-plastic torsion of rods (1955). From 1955 Langenbach worked as an assistant at Kurt Schröder's institute at the Humboldt University in Berlin , where he introduced and researched modern methods of functional analysis for the treatment of nonlinear partial differential equations. At the end of the 1950s he founded a research seminar for nonlinear partial differential equations and calculus of variations. After his habilitation in 1962 ( variation methods in non-linear elasticity and plasticity theory ), Langenbach became a lecturer and, in 1965, professor for applied analysis in the mathematics department of the Humboldt University in Berlin.

After the end of the GDR, Arno Langenbach was, alongside Herbert Kurke and Uwe Küchler, one of the three professors at the previous mathematics institute who, as members of the structure and appointment committee, initiated the reorganization of the institute. Langenbach retired just one year after his new appointment as C4 professor for applied analysis (1993).

The research seminar he founded continues to exist and is now based under his name as the Berlin Oberseminar Nonlinear Partial Differential Equations (Langenbach Seminar) at the Weierstrass Institute for Applied Analysis and Stochastics .

Langenbach's tomb is located in the forest cemetery in Berlin-Grünau .

Fonts

• Elastic-plastic deformations of plates . In: Z. angew. Math. Mech . tape 41 , 1961, pp. 126-134 , doi : 10.1002 / zamm.19610410306 .
• The regularization of nonlinear equations . In: Math . tape 24 , 1962, pp. 33-51 , doi : 10.1002 / mana.19620240104 .
• About equations with potential operators and minimal sequences of non-square functionals . In: Math . tape 32 , 1966, pp. 9-24 , doi : 10.1002 / mana.19660320103 .
• Continuously differentiable trajectories of rheological plates . In: Math . tape 49 , 1971, p. 359-368 , doi : 10.1002 / mana.19710490125 .
• Analytic branching in the theory of v. Kármán Plates . In: Math . tape 75 , 1976, pp. 311-318 , doi : 10.1002 / mana.19760750123 .
• Monotonous potential operators in theory and application (=  university books for mathematics . Volume 80 ). German publisher d. Wiss., Berlin 1976, DNB  790184273 .
• About a buckling equation for moderately nonlinear plates . In: Math . tape 95 , 1980, pp. 305-321 , doi : 10.1002 / mana.19800950128 .
• Lectures on higher analysis (=  university books for mathematics . Volume 84 ). German publisher d. Wiss., Berlin 1984, DNB  841036454 .
• About implicit inclusions and bifurcation . In: Math . tape 123 , 1985, pp. 255-270 , doi : 10.1002 / mana.19851230121 .
• About L-differentiability on metric spaces and implicit functions . In: Math . tape 166 , 1994, pp. 55-64 , doi : 10.1002 / mana.19941660104 .
• On the Complexity of Bifurcation in a Family of Equations Involving Lipschitz Operators . In: Math . tape 235 , 2002, p. 83-100 , doi : 10.1002 / 1522-2616 (200202) 235: 1 <83 :: AID-MANA83> 3.0.CO; 2-U .

Web links

• Arno Langenbach in the Mathematics Genealogy Project (English)
• Obituary (PDF) Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin; photo
• Obituary (PDF; 4 MB) Humboldt University Berlin, Inst. F. Mathematics, p. 2, photo

Individual evidence

1. ↑ Helmut Koch, Jürg Kramer: The mathematics after 1945. In: Heinz-Elmar Tenorth (ed.): History of the University of Unter den Linden 1810-2010, self-assertion of a vision. Akademie-Verlag, 2010, ISBN 978-3-05-004671-6 , p. 683.