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Infinite Dimensional Manifolds
Elliptic Operators and Function Spaces
8 other sections not shown
adjoint Anal analysis Arch Banach space Bifurcation bilinear boundary canonical chart classical compact compute condition consider coordinates defined definition denote derivative diffeomorphism differential equations divergence free Ebin Einstein Euler equations example fact finite dimensional fluid follows formula function G acts geodesic given global grad Hamiltonian system Hamiltonian vector field Hence hidden variables Hilbert space Hodge theorem Hopf HS(M hydrodynamics induced inner product integral curve Journ Lagrangian lecture lemma Let f Let G Lie group linear Marsden Math Mathematical Mech Navier-Stokes Equations neighborhood nondegenerate Nonlinear operator orbit orthogonal parameter Phys physical problem Proc Proof quantum mechanics reduced phase space Relativity result Riemannian manifold Riemannian metric right invariant satisfies Smale smooth Sobolev solutions spray stable structure submanifold Suppose symmetric symplectic form symplectic manifold tensor theory topology turbulence unique vector bundle volume preserving wave equation weak symplectic