Quaternions, Frechet differentiation, and some equations of mathematical physics. I. Critical point theory

DOI10.1016/0022-247X(79)90224-5zbMath0421.46037OpenAlexW2042100148MaRDI QIDQ1133113

Vadim Komkov

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90224-5

zbMATH Keywords

variational principlesEuler-Lagrange equationscritical pointquaternionstensor productequations of mathematical physicsquaternionic multiplicationFrechet derivativemechanics of rigid bodiesclassical elasticityelectromagnetic field theory

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) General mathematical topics and methods in quantum theory (81Q99) Incompressible inviscid fluids (76B99) Derivatives of functions in infinite-dimensional spaces (46G05) Elastic materials (74B99) Miscellaneous applications of functional analysis (46N99) General topics in optics and electromagnetic theory (78A99)

Cites Work

• Application of Rall's theorem to classical elastodynamics
• A note on Komkov's class of boundary value problems and associated variational principles
• Variational principles for linear initial-value problems
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