Results 61 to 70 of about 363,931 (208)

Invariant manifolds for flows in Banach spaces

open access: yesJournal of Differential Equations, 1988
On presente une theorie des varietes invariantes lisses basee sur la methode classique de Lyapunov-Penon pour des semi-flots continus dans des espaces de ...
Shui-Nee Chow, Kening Lu
openaire   +3 more sources

Second order tangent bundles of infinite dimensional manifolds

open access: yes, 2003
The second order tangent bundle $T^{2}M$ of a smooth manifold $M$ consists of the equivalent classes of curves on $M$ that agree up to their acceleration.
C.T.J. Dodson   +8 more
core   +2 more sources

Some basic properties of infinite dimensional Hamiltonian systems [PDF]

open access: yes, 1974
We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone.
Chernoff, P. R., Marsden, J. E.
core   +1 more source

Rough integrators on Banach manifolds

open access: yesBulletin des Sciences Mathématiques, 2019
We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a ...
openaire   +6 more sources

Approximation of holomorphic mappings on strongly pseudoconvex domains

open access: yes, 2009
Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek   +11 more
core   +2 more sources

A Deformed Exponential Statistical Manifold

open access: yesEntropy, 2019
Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ ...
Francisca Leidmar Josué Vieira   +3 more
doaj   +1 more source

Manifolds of classical probability distributions and quantum density operators in infinite dimensions

open access: yes, 2019
The manifold structure of subsets of classical probability distributions and quantum density operators in infinite dimensions is investigated in the context of $C^{*}$-algebras and actions of Banach-Lie groups.
Ciaglia, Florio M.   +3 more
core   +1 more source

The domination theorem for operator classes generated by Orlicz spaces

open access: yesMathematische Nachrichten, EarlyView.
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez   +3 more
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold [PDF]

open access: yes, 2006
For a compact, smooth C^r orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for finite r \ge 1 and a Frechet manifold if r=infty.
Borzellino, Joseph E., Brunsden, Victor
core   +5 more sources

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