Results 61 to 70 of about 361,418 (224)

Rough integrators on Banach manifolds

Bulletin 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

An Alternative Surface Measures Construction in Finite-Dimensional Spaces and its Consistency with the Classical Approach

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
doaj   +1 more source

The Automorphism Group of a Banach Principal Bundle with {1}-structure

, 2011
A {1}-structure on a Banach manifold M (with model space E) is an E-valued 1-form on M that induces on each tangent space an isomorphism onto E. Given a Banach principal bundle P with connected base space and a {1}-structure on P, we show that its ...
Klotz, Michael
core   +1 more source

The H\"older-Poincar\'e Duality for $L_{q,p}$-cohomology [PDF]

, 2009
We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any ...
G. Carron, H. Brezis, I. Holopainen, J. Eichhorn, M. Troyanov, M. Troyanov, Marc Troyanov, P. Pansu, S. Pigola, S. Poborchii, V. Gol’dshtein, V. Gol’dshtein, V. Gol’dshtein, V. Gol’dshtein, V. Gol’dshtein, V. Gol’dshtein, V. Maz’ya, V.M. Gol’dshtein, V.M. Gol’dshtein, V.M. Gol’dshtein, V.M. Gol’dshtein, Vladimir Gol’dshtein, X.D. Li, X.D. Li, Y. Kopylov, Y. Kopylov   +25 more
core   +2 more sources

On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient [PDF]

, 2015
We study applicability conditions of the Nehari manifold method for the equation of the form $ D_u T(u)-\lambda D_u F(u)=0 $ in a Banach space $W$, where $\lambda$ is a real parameter.
Y. Il’yasov
semanticscholar   +1 more source

Second order tangent bundles of infinite dimensional manifolds

, 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, Dodson, G.N. Galanis, Galanis, Galanis, Leslie, Leslie, Vassiliou, Vilms   +8 more
core   +2 more sources

Peer Effects in Bin ary Outcomes: Strategic Complementarity and Taste for Conformity With Endogenous Networks

Journal of Applied Econometrics, EarlyView.
ABSTRACT This paper introduces a generalized model of peer effects for binary outcomes, based on a network game that accounts for strategic complementarity (influence of the number of peers that select the same action) and conformity to social norms (penalizing deviations from the average peers' action).
Mathieu Lambotte
wiley   +1 more source

Approximation of holomorphic mappings on strongly pseudoconvex domains

, 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, Forstnerič F., Forstnerič F., Forstnerič F., Franc Forstnerič, Henkin G. M., Ivashkovich S. M., Larotonda A., Larotonda A., Leiterer J., Newlander A., Palais R. S.   +11 more
core   +2 more sources

On the completeness of the space OC$\mathcal {O}_C$

Mathematische Nachrichten, EarlyView.
Abstract We explicitly prove the compact regularity of the LF$\mathcal {LF}$‐space of double sequences limk→(s⊗̂(ℓp)k)≅limk→(s⊗̂(c0)−k)$ {\lim _{k\rightarrow }} (s\widehat{\otimes }(\ell ^p)_{k}) \cong {\lim _{k\rightarrow }}(s\widehat{\otimes }(c_0)_{-k})$, 1≤p≤∞$1\le p\le \infty$.
Michael Kunzinger, Norbert Ortner
wiley   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source