Generalized Hamiltonian mechanics. A mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics

From MaRDI portal
Publication:2526872

DOI10.1007/BF00251661zbMath0155.51302MaRDI QIDQ2526872

Jerrold E. Marsden

Publication date: 1968

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)




Related Items

The Hawking-Penrose singularity theorem for \(C^1\)-Lorentzian metrics, Quantum confinement on non-complete Riemannian manifolds, Nonsmooth differential geometry and algebras of generalized functions, Sheaves of nonlinear generalized functions and manifold-valued distributions, Penrose junction conditions with \(\Lambda\): geometric insights into low-regularity metrics for impulsive gravitational waves, On the existence of distributional potentials, The singularity theorems of general relativity and their low regularity extensions, A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem, Geodesics in nonexpanding impulsive gravitational waves with Λ. II, Inverse Function Theorems for Generalized Smooth Functions, Semi-classical locality for the non-relativistic path integral in configuration space, Approximating multi-dimensional Hamiltonian flows by billiards, A nonlinear theory of distributional geometry, Well-posedness theory for degenerate parabolic equations on Riemannian manifolds, Timeless configuration space and the emergence of classical behavior, Prequantum bundles and projective Hilbert geometries, Stability in high dimensional steep repelling potentials, The wave equation on singular space-times, Hamiltonian one parameter groups. A mathematical exposition of infinite dimensional Hamiltonian systems with applications in classical and quantum mechanics, Distributional geometry in general relativity, Calculus of variations and optimal control for generalized functions, A global theory of algebras of generalized functions, Generalized pseudo-Riemannian geometry



Cites Work