Rigorous foundations of the Brockett-Wegner flow for operators

DOI10.1007/s00028-010-0055-1zbMath1239.34067OpenAlexW2033316861MaRDI QIDQ423416

Jean-Bernard Bru, Volker Bach

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-010-0055-1

zbMATH Keywords

evolution equationsBrockett-Wegner flowdouble bracket flowflow equations for operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear differential equations in abstract spaces (34G20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Applications of operator theory to differential and integral equations (47N20) Nonlinear evolution equations (47J35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Toda flows with infinitely many variables
• The flow equation approach to many-particle systems
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• Matrix factorizations and integrable systems
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Flow‐equations for Hamiltonians
• Generalized affine lie algebras and the solution of a class of flows associated with the QR eigenvalue algorithm