Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term

Attouchi Amal

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Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term

机译：具有非线性梯度项的p-Laplacian发展方程整体解的有界性

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摘要

We investigate the boundedness and large time behavior of solutions of the Cauchy-Dirichlet problem for the one-dimensional degenerate parabolic equation with gradient nonlinearity:

机译：我们研究带非线性梯度的一维退化抛物方程的Cauchy-Dirichlet问题解的有界性和长时间行为：

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来源
《Asymptotic analysis》 |2015年第4期|233-251|共19页
作者
Attouchi Amal;
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作者单位

Univ Paris 13, Sorbonne Paris Cite, Lab Analyse Geometrie & Applicat, CNRS,UMR 7539, F-93430 Villetaneuse, France;

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原文格式 PDF
正文语种 eng
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关键词
asymptotic behavior; p-Laplacian; gradient term; boundedness; Lyapunov functional;

机译：渐近行为;p-Laplacian;梯度项;有界性;Lyapunov泛函;

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专利

1. Boundedness of solutions for equations with p-Laplacian and an asymmetric nonlinear term [J] . Liu B Journal of Differential Equations . 2004,第1期

机译：具有p-Laplacian和非对称非线性项的方程解的有界性
2. Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition [J] . Zhong B Fang, Jianyun Zhang Boundary value problems . 2014,第1期

机译：具有非线性记忆项和非局部边界条件的p-Laplacian发展方程解的整体存在和爆破
3. Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition [J] . Zhong B Fang, Jianyun Zhang Boundary value problems . 2014,第1期

机译：具有非线性记忆项和非局部边界条件的p-Laplacian发展方程解的整体存在和爆破
4. A Nonlinear Evolution System of Partial Differential Equations With p-Laplacian and Negative Nonlineariy [C] . Nelson N. de O. Castro, Jorge Ferreira WSEAS MATH, TELE-INFO, SIP, CSECS International Conferneces . 2007

机译：具有P-Laplacian和负非线性的部分微分方程的非线性演化系统
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian [O] . Guowei Sun, Ali Mai -1

机译：具有p-Laplacian的二阶非线性差分方程的无限多个同宿解
7. Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term [O] . Attouchi, Amal 2014

机译：具有时滞的p-Laplacian演化方程整体解的有界性非线性梯度项

Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term

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