Results 11 to 20 of about 1,253,716 (311)

On some properties of the superposition operator on topological manifolds [PDF]

Opuscula Mathematica, 2010
In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established.
Janusz Dronka
doaj   +2 more sources

Topological and iterated structures of the superposition operator on Fock spaces

The Journal of Analysis
We characterize various topological structures of the weighted superposition operator on Fock spaces. The global homeomorphism property of the operator is described by its ray-invertibility condition.
Yonas Eshetu Felke, Tesfa Mengestie, M. H. Takele   +2 more
semanticscholar   +2 more sources

An existence theory for nonlinear superposition operators of mixed fractional order [PDF]

Communications in Contemporary Mathematics, 2023
We establish the existence of multiple solutions for a nonlinear problem of critical type. The problem considered is fractional in nature, since it is obtained by the superposition of $(s,p)$-fractional Laplacians of different orders.
S. Dipierro, Kanishka Perera, Caterina Sportelli, E. Valdinoci   +3 more
semanticscholar   +3 more sources

Modelling of superposition in 2D linear acoustic wave problems using Fourier neural operator networks

Acta Acustica
A method of solving the 2D acoustic wave equation using Fourier Neural Operator (FNO) networks is presented. Various scenarios including wave superposition are considered, including the modelling of multiple simultaneous sound sources, reflections from ...
Middleton Michael, Murphy Damian T., Savioja Lauri   +2 more
doaj   +2 more sources

Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space [PDF]

Advances in Nonlinear Analysis, 2018
Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann Nils
doaj   +2 more sources

THE SUPERPOSITION OPERATOR FOR VECTOR-VALUED FUNCTIONS ON A NONCOMPACT INTERVAL [PDF]

, 2006
In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a noncompact interval is considered. Acting conditions and criteria of continuity and compactness are established. As an application, an existence
J. Dronka, L. Olszowy
semanticscholar   +2 more sources

Superposition operator problems of Hölder-Lipschitz spaces

Demonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
doaj   +2 more sources

Every superposition operator mapping one Sobolev space into another is continuous

, 1979
M. Marcus, V. Mizel
semanticscholar   +2 more sources

Continuity of the superposition operator on Orlicz-Sobolev spaces [PDF]

Bulletin of the Australian Mathematical Society, 1994
G. Hardy, H. Thompson
semanticscholar   +2 more sources

Merging probabilistic models of navigation: the Bayesian map and the superposition operator

2005 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2005
Julien Diard, P. Bessière, E. Mazer
semanticscholar   +3 more sources