[图书][B] Global attractors in abstract parabolic problems

JW Cholewa, T Dlotko - 2000 - books.google.com
Dissipative equations have attracted substantial attention over many years. Much progress
has been achieved in this area using a combination of both finite dimensional and infinite …

Asymptotic Behavior of a Nonautonomous -Laplacian Lattice System

A Gu, PE Kloeden - International Journal of Bifurcation and Chaos, 2016 - World Scientific
The existence of a pullback attractor for the nonautonomous p-Laplacian type equations on
infinite lattices is established under certain natural dissipative conditions. In particular, there …

Random attractors for degenerate stochastic partial differential equations

B Gess - Journal of Dynamics and Differential Equations, 2013 - Springer
We prove the existence of random attractors for a large class of degenerate stochastic partial
differential equations (SPDE) perturbed by joint additive Wiener noise and real, linear …

Random attractors for singular stochastic evolution equations

B Gess - Journal of Differential Equations, 2013 - Elsevier
The existence of random attractors for singular stochastic evolution equations (SEE)
perturbed by general additive noise is proven. The drift is only assumed to satisfy the …

Global attractors for p-Laplacian equation

M Yang, C Sun, C Zhong - Journal of mathematical analysis and …, 2007 - Elsevier
The existence of a (L2 (Ω), W01, p (Ω)∩ Lq (Ω))-global attractor is proved for the p-Laplacian
equation ut− div (|∇ u| p− 2∇ u)+ f (u)= g on a bounded domain Ω⊂ Rn (n⩾ 3) with Dirichlet …

Asymptotic behaviour of non-linear parabolic equations with monotone principal part

AN Carvalho, CB Gentile - Journal of mathematical analysis and …, 2003 - Elsevier
We consider non-linear parabolic equations with subdifferential principal part and give
conditions under which they posses global attractors in spite of considering non-Lipschitz …

Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain

AK Khanmamedov - Journal of mathematical analysis and applications, 2006 - Elsevier
In this paper, we study the long-time behavior of solutions for the parabolic equation with
non-linear Laplacian principal part in Rn. We prove the existence of a global (L2 (Rn) …

On the Existence of Regular Global Attractor for -Laplacian Evolution Equation

PG Geredeli - Applied Mathematics & Optimization, 2015 - Springer
In this study, we consider the nonlinear evolution equation of parabolic type u_t-div\big (| ∇
u|^ p-2 ∇ u\big)+ f (u)= g. ut-div (|∇ u| p-2∇ u)+ f (u)= g. We analyze the long time dynamics …

Dynamic behavior of stochastic -Laplacian-type lattice equations

A Gu, Y Li - Stochastics and Dynamics, 2017 - World Scientific
In this paper, we consider the dynamic behavior of stochastic p-Laplacian-type lattice
equations perturbed by a multiplicative noise. Under weaker dissipative conditions …

Existence of a global attractor for a p-Laplacian equation in Rn

M Yang, C Sun, C Zhong - Nonlinear Analysis: Theory, Methods & …, 2007 - Elsevier
In this paper, we prove the existence of the (L2 (Rn), W1, p (Rn)∩ Lq (Rn))-global attractor
for the p-Laplacian equation ut− div (|∇ u| p− 2∇ u)+ λ| u| p− 2u+ f (u)= g with a more …