Results 91 to 100 of about 12,144 (227)
Nonautonomous attractors of skew-product flows with digitized driving systems
Electronic Journal of Differential Equations, 2001 The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
doaj
Piecewise rank‐one approximation of vector fields with measure derivatives
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 181-202, January 2025.Abstract This work addresses the question of density of piecewise constant (resp. rigid) functions in the space of vector‐valued functions with bounded variation (resp. deformation) with respect to the strict convergence. Such an approximation property cannot hold when considering the usual total variation in the space of measures associated to the ...
Jean‐François Babadjian +1 more
wiley +1 more source
Mathematics, 2020 In this paper, two types of set-valued symmetric generalized strong vector quasi-equilibrium problems with variable ordering structures are discussed.
Jing-Nan Li, San-Hua Wang, Yu-Ping Xu
doaj +1 more source
Harmonic balls in Liouville quantum gravity
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley +1 more source
Measures of quantum correlations in infinite-dimensional systems
, 2015 Several important measures of quantum correlations of a state of a finite-dimensional composite system are defined as linear combinations of marginal entropies of this state.
Shirokov, M. E.
core +1 more source
Journal of Applied Mathematics, 2005 We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
doaj +1 more source
Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
Abstract and Applied Analysis, 2014 Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
doaj +1 more source
Saddle point theorems on generalized convex spaces
Journal of Inequalities and Applications, 2000 A sharpened extension of Komiya's saddle point theorem is obtained for generalized convex spaces. Moreover, we show that convexity of the involved sets in his theorem can be replaced by acyclicity, and continuity of the involved functions by lower and ...
Park Sehie, Kim In-sook
doaj
Upper semicontinuous fuzzy sets and applications
Journal of Mathematical Analysis and Applications, 1980 AbstractLet (X, τ) be a generalized topological space of type Vα (see A. Appert and K. Fan, “Espaces topologiques intermédiares,” Herman, Paris, 1951) and (L, ⩽) be a complete Brouwerian lattice such that the dual lattice of (L, ⩽) is also Brouwerian. We prove that every upper semicontinuous L-fuzzy subset of X can be represented by a τ-closed random ...
openaire +2 more sources