The cohomology of invariant variational bicomplexes
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Publication:1903551
DOI10.1007/BF00996103zbMath0843.58030OpenAlexW1991717610WikidataQ125130265 ScholiaQ125130265MaRDI QIDQ1903551
Ian M. Anderson, Juha Pohjanpelto
Publication date: 11 December 1995
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00996103
Variational principles in infinite-dimensional spaces (58E30) Invariance and symmetry properties for PDEs on manifolds (58J70) Inverse problems in optimal control (49N45)
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Cites Work
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- On variation bicomplexes associated to differential equations
- Natural variational principles on Riemannian manifolds
- Higher order conservation laws and a higher order Noether's theorem
- On the inverse problem with symmetries, and the appearance of cohomologies in classical Lagrangian dynamics
- Differential invariants
- Group-theoretical foundations of classical mechanics: the Lagrangian gauge problem
- The equivariant inverse problem and the uniqueness of the Yang–Mills equations
- Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
- Partial Differential Relations
- The equivariant inverse problem and the Maxwell equations
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