Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
doaj +1 more source
Upper semicontinuity of automorphism groups
The authors prove striking results on upper semicontinuity of automorphism groups. They show, for example, that if pairs \((M_j, G_j)\) \((M_j\) connected complex manifolds and \(G_j\) subgroups of \(\Aut (M_j))\) converge on compacta to a pair \((M,G)\), where \(M\) is a hyperbolic complex manifold and \(G\) is a subgroup of \(\Aut (M)\), then \(G_j\)
Fridman, Buma L., Poletsky, Evgeny A.
openaire +3 more sources
Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
doaj +1 more source
Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
doaj +1 more source
The existence and the stability of solutions for equilibrium problems with lower and upper bounds [PDF]
In this paper, we study a class of equilibrium problems with lower and upper bounds. We obtain some existence results of solutions for equilibrium problems with lower and upper bounds by employing some classical fixed-point theorems.
Congjun Zhang, Jinlu Li, Zhenmin Feng
core +1 more source
Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the ...
Severino Horácio da Silva+2 more
doaj +1 more source
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below [PDF]
This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces (X,d,m). Our main results are: - A general study of the relations between the Hopf-Lax semigroup and Hamilton-Jacobi ...
A. Grigor’yan+33 more
core +2 more sources
On the upper semicontinuity of Choquet capacities
AbstractThe Choquet capacity T of a random closed set X on a metric space E is regarded as or related to a non-additive measure, an upper probability, a belief function, and in particular a counterpart of the distribution functions of ordinary random vectors.
Guo Wei+3 more
openaire +2 more sources
On separation axioms of uniform bundles and sheaves
In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with ...
Clara M. Neira U., Januario Varela
doaj +1 more source
On the Wu metric in unbounded domains
We discuss the properties of the Wu pseudometric and present counterexamples for its upper semicontinuity that answers the question posed by Jarnicki and Pflug.
Jucha, Piotr
core +1 more source