Hamiltonian systems as selfdual equations

DOI10.1007/s11464-008-0021-1zbMath1146.53046OpenAlexW1989738352MaRDI QIDQ942944

Nassif Ghoussoub

Publication date: 8 September 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0021-1

zbMATH Keywords

Hamiltonian systemsselfdual lagrangians

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of global differential geometry to the sciences (53C80) Differential geometric aspects of harmonic maps (53C43) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Initial value problems for linear first-order PDEs (35F10)

Cites Work

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• Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions
• Critical point theory and Hamiltonian systems
• Antisymmetric Hamiltonians: Variational resolutions for Navier-Stokes and other nonlinear evolutions
• Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems
• Minimax Theorems