Multiplication for solutions of the equation grad \(f = M\) grad \(g\)

DOI10.1016/j.geomphys.2009.07.006zbMath1175.35088arXiv0803.2797OpenAlexW1502028095MaRDI QIDQ730810

Jens Jonasson

Publication date: 1 October 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2797

zbMATH Keywords

power seriesCauchy-Riemann equationsoverdetermined systems of partial differential equationsmultiplication of solutions

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Overdetermined systems of PDEs with constant coefficients (35N05) Power series, series of functions of several complex variables (32A05)

Related Items (1)

Differentiable functions on modules and the equation 𝑔𝑟𝑎𝑑(𝑤)=𝖬𝗀𝗋𝖺𝖽(𝗏)

Cites Work

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• The equation \(X\nabla \text{det}X = \text{det}X\nabla \text{tr}X\), multiplication of cofactor pair systems, and the Levi-Civita equivalence problem
• Multiplication of solutions for linear overdetermined systems of partial differential equations
• Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems
• A class of nonconservative Lagrangian systems on Riemannian manifolds
• Higher-Dimensional Integrable Newton Systems with Quadratic Integrals of Motion
• Matrix Analysis
• On the equation grad f = M grad g
• Differentiable functions on algebras and the equation grad (w) = M grad (v)
• Quasi-Lagrangian systems of Newton equations
• Driven Newton equations and separable time-dependent potentials

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