Results 71 to 80 of about 2,716 (225)
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
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Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
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 $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
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Pullback attractors of nonautonomous reaction–diffusion equations
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Song, Haitao, Wu, Hongqing
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
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Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations [PDF]
Kush Kinra, Manil T. Mohan
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Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor [PDF]
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the non-linear term f. The function β"(
Caraballo Garrido, Tomás +3 more
core
Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations
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
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In this paper, we investigate the long-time behavior for the nonautonomous semilinear second-order evolution equation ∂2u/∂t2−Δu−Δ∂u/∂t−Δ∂2u/∂t2=ft,ux,t−ρt+gt,x,inτ,∞×Ω with some hereditary characteristics, where Ω is an open-bounded domain of ℝNN≥3 with
Fang-hong Zhang, Xiao-hua Chen
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Dual spaces of geodesic currents
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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