GASPARD MONGE (1746-1818): APPLICATION OF GEOMETRY TO ANALYSIS

DOI10.32523/2077-9879-2020-11-1-13-24zbMath1452.01018OpenAlexW3038398315MaRDI QIDQ5118885

Maria Teresa Borgato, Luigi Pepe

Publication date: 27 August 2020

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj354

zbMATH Keywords

minimal surface equationMonge-Ampère equationoptimal control problemsfirst-order PDEs

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of calculus of variations and optimal control (49-03) Existence theories for optimal control problems involving partial differential equations (49J20) History of partial differential equations (35-03) Monge-Ampère equations (35J96)

Cites Work

• The study of partial differential equations of the first order in the 18th and 19th centuries
• Lacroix and the calculus
• The Monge–Ampère equation and its link to optimal transportation
• La première note mathématique de Gaspard Monge (juin 1769)
• The Monge-Ampère equation
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