GLOBAL ATTRACTOR OF MULTI-VALUED OPERATORS WITH APPLICATIONS TO A STRONGLY DAMPED NONLINEAR WAVE EQUATION WITHOUT UNIQUENESS

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GLOBAL ATTRACTOR OF MULTI-VALUED OPERATORS WITH APPLICATIONS TO A STRONGLY DAMPED NONLINEAR WAVE EQUATION WITHOUT UNIQUENESS

机译：多值运营商的全局吸引子，应用到无唯一性的强阻尼非线性波方程

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The paper investigates the existence of global attractors for a few classes of multi-valued operators. We establish some criteria and give their applications to a strongly damped wave equation with fully supercritical non-linearities and without the uniqueness of solutions. Moreover, the geometrical structure of the global attractors of the corresponding multi-valued operators is shown.

机译：本文调查了几类多价营运者的全球吸引子的存在。我们建立一些标准，并将其应用于具有完全超临界非线性的强烈阻尼的波动方程，无需解决方案的唯一性。此外，示出了相应的多值运营商的全局吸引子的几何结构。

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《Zeitschrift fur Arznei- und Gewurzpflanzen》 |2020年第1期|共18页
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正文语种 eng
中图分类药学;
关键词
Multi-valued operators; generalized semigroup; subclass of weak solutions; global attractor; geometrical structure; strongly damped wave equation;

机译：多价算子;广义半群;弱解决方案的子类;全球吸引子;几何结构;强衰减波动方程;

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专利

1. GLOBAL ATTRACTOR OF MULTI-VALUED OPERATORS WITH APPLICATIONS TO A STRONGLY DAMPED NONLINEAR WAVE EQUATION WITHOUT UNIQUENESS [J] . ZHIMING LIU, ZHIJIAN YANG Discrete and continuous dynamical systems . 2020,第1期

机译：多价算子的全局吸引子，应用到无唯一性的强烈阻尼非线性波方程
2. GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH DISPLACEMENT DEPENDENT DAMPING AND NONLINEAR SOURCE TERM OF CRITICAL EXPONENT [J] . A. Kh. Khanmamedov Discrete and continuous dynamical systems . 2011,第1期

机译：具有位移相关阻尼和临界指数非线性源项的强阻尼方程的全局吸引子
3. GLOBAL EXPONENTIAL ATTRACTION FOR MULTI-VALUED SEMIDYNAMICAL SYSTEMS WITH APPLICATION TO DELAY DIFFERENTIAL EQUATIONS WITHOUT UNIQUENESS [J] . Wang Yejuan, Yang Lin Discrete and continuous dynamical systems . 2019,第4期

机译：多值半动态系统的全局指数吸引作用及其在无唯一性时滞微分方程中的应用
4. Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping [C] . Igor Chueshov, Irena Lasiecka Conference on Control Theory for Partial Differential Equations . 2005

机译：Kolmogorov的E-entropy是一类不变集和全局吸引子的尺寸，用于具有非线性阻尼的二阶进化方程
5. Global well-posedness for a nonlinear wave equation with P-Laplacian damping. [D] . Wilstein, Zahava. 2011

机译：具有P-Laplacian阻尼的非线性波动方程的整体适定性。
6. Colloquium PaperNonlinear partial differential equations and applications: On the global Cauchy problem for the nonlinear Schrödinger equation [O] . Jean Bourgain 2007

机译：非线性偏微分方程及其应用：关于非线性的整体柯西问题薛定er方程
7. Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness [O] . Zhiming Liu, Zhijian Yang 2020

机译：多价算子的全局吸引子，应用到无唯一性的强烈阻尼非线性波方程

GLOBAL ATTRACTOR OF MULTI-VALUED OPERATORS WITH APPLICATIONS TO A STRONGLY DAMPED NONLINEAR WAVE EQUATION WITHOUT UNIQUENESS

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