Lebesgue's criticism of Carl Neumann's method in potential theory

DOI10.1007/s00407-019-00233-zzbMath1444.01014OpenAlexW2961801360MaRDI QIDQ2285860

Ivan Netuka

Publication date: 9 January 2020

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-019-00233-z

zbMATH Keywords

Dirichlet problempotential theoryhistory of analysismethod of the arithmetic meanreception history

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55) History of potential theory (31-03) History of partial differential equations (35-03)

Cites Work

• Integral equations between theory and practice: the cases of Italy and France to 1920
• The establishment of functional analysis
• Boundary integral equations
• Zur Entwicklung der zentralen Ideen in der Funktionalanalysis. (Development of the central ideas in functional analysis)
• Integral operators in potential theory
• On the convergence of Neumann series in Banach space
• The relation of functional analysis to concrete analysis in 20th century mathematics
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation
• Contractivity of C. Neumann's operator in potential theory
• Solution of the Dirichlet problem for the Laplace equation.
• Potential theory. An analytic and probabilistic approach to balayage
• Carl Neumann's contributions to electrodynamics
• Heritage and early history of the boundary element method
• Poincaré's variational problem in potential theory
• The reception of Fredholm's results on integral equations: Preliminary report
• The development of function spaces with particular reference to their origins in integral equation theory
• Les étapes et les aspects multiples de la théorie du potentiel. (The periods and the multiple aspects of potential theory)
• Sur la méthode de Carl Neumann
• The Real and the Complex: A History of Analysis in the 19th Century
• Counterexamples in Weierstraß’s work
• The successive approximation method for the Dirichlet problem in a planar domain
• The Laplace Equation
• Carl Neumanns Forschungen zur Potentialtheorie
• Carl Gottfried Neumann
• History of Banach Spaces and Linear Operators
• Konstruktive Methoden der konformen Abbildung
• Neumann's Lemma
• Harmonic Analysis
• Operator Theory
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
• The development of mathematical physics at Leipzig. I: The beginning of C. Neumann's era
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item