Results 1 to 10 of about 2,072,232 (247)

Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth

open access: yesAdvances in Difference Equations, 2021
In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of arbitrary order p − 1 $p-1$ ( p ≥ 2 $p ...
Yongqin Xie, Jun Li, Kaixuan Zhu
doaj   +2 more sources

Stieltjes Differential Inclusions with Periodic Boundary Conditions without Upper Semicontinuity

open access: yesMathematics, 2021
We are studying first order differential inclusions with periodic boundary conditions where the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the classical derivative.
Valeria Marraffa, Bianca Satco
doaj   +2 more sources

Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation

open access: yesBoundary Value Problems, 2021
In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some proper assumptions, we prove that the pullback attractor { A ε ( t ) } t ∈ R $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
doaj   +2 more sources

Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]

open access: yesThe Scientific World Journal, 2014
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang   +3 more
doaj   +2 more sources

Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
doaj   +2 more sources

Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise

open access: yesAdvances in Mathematical Physics, 2019
In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
doaj   +2 more sources

Upper semicontinuity of uniform attractors for nonclassical diffusion equations

open access: yesBoundary Value Problems, 2017
We study the upper semicontinuity of a uniform attractor for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, we prove that the uniform (with respect to (w.r.t.) g ∈ Σ $g\in \Sigma $ ) attractor A Σ ε $\mathcal ...
Yonghai Wang, Pengrui Li, Yuming Qin
doaj   +2 more sources

Upper semicontinuity of index plus nullity for minimal and CMC hypersurfaces [PDF]

open access: yesAdvances in Calculus of Variations, 2023
We consider a sequence, { M k } k ∈ ℕ {\{M_{k}\}_{k\in\mathbb{N}}} , of bubble converging minimal hypersurfaces, or H-CMC hypersurfaces, in compact Riemannian manifolds without boundary, of dimension 4 ≤ n + 1 ≤ 7 {4\leq n+1\leq 7} .
Myles Workman
semanticscholar   +1 more source

Upper Semicontinuous Extensions of Binary Relations [PDF]

open access: yesSSRN Electronic Journal, 2002
The notion of consistency in binary relations is considered. The authors provide sufficient conditions for the existence of upper semicontinuous extensions of consistent rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice.
BOSSERT, Walter   +2 more
openaire   +3 more sources

The stability of minimal solution sets for set optimization problems via improvement sets

open access: yesJournal of Inequalities and Applications, 2023
In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-minimal solution mappings are given for ...
Taiyong Li, Yanhui Wei
doaj   +1 more source

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