Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential

Cung The Anh; Vu Manh Toi

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Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential

机译：带有逆平方势的Grushin算子的抛物方程的零时间可控性

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We prove the null controllability in large time of the following linear parabolic equation involving the Grushin operator with an inverse square potential

机译：我们证明了以下线性抛物方程的零时间可控性，该线性抛物方程涉及具有平方反比电位的Grushin算子

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《Nonlinear differential equations and applications: NoDEA》 |2016年第2期|共26页
作者
Cung The Anh; Vu Manh Toi;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Null controllability; Uniform observability; Grushin operator; Hardy inequality; Carleman inequality; Dissipation speed;

机译：零可控性;一致可观性;Grushin算子;Hardy不等式;Carleman不等式;耗散速度;

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专利

1. Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential [J] . Cung The Anh, Vu Manh Toi Nonlinear differential equations and applications: NoDEA . 2016,第2期

机译：带有逆平方势的Grushin算子的抛物方程的零时间可控性
2. Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type [J] . K Beauchard, P Cannarsa, M Yamamoto Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2014,第2期

机译：Grushin型多维抛物线算子的逆源问题和零可控性
3. Higher-Order Attraction of Pullback Attractors for Parabolic Equations Involving Grushin Operators [J] . Yanping XIAO 数学研究及应用：英文版 . 2015,第006期

机译：涉及格鲁宾算子的抛物方程的回撤吸引子的高阶吸引
4. EXACT NULL-CONTROLLABILITY OF ABSTRACT EVOLUTION EQUATIONS WITH BOUNDARY INPUT OPERATORS BY SMOOTH CONTROL [C] . B. Shklyar ASME biennial conference on engineering systems design and analysis . 2012

机译：具有光滑控制的具有边界输入算子的抽象演化方程的完全零可控性
5. Numerical Approximation of Partial Differential Equations Involving Fractional Differential Operators [D] . Lei, Wenyu 2018

机译：包含分数阶微分算子的偏微分方程的数值逼近
6. EIGENFUNCTION EXPANSIONS FOR SINGULAR ELLIPTIC OPERATORS. II. THE HILBERT SPACE ARGUMENT; PARABOLIC EQUATIONS ON OPEN MANIFOLDS [O] . Felix E. Browder 1954

机译：奇异椭圆算子的本征函数展开式。二。希尔伯特空间论证；开流形上的抛物线方程
7. Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type [O] . K Beauchard, P Cannarsa, M Yamamoto 2014

机译：逆源问题和Grushin类型多维抛物算子的空载性
8. Fredholmgleichungen fuer die 3-Teilchen-Resolvente von Schroedingeroperatoren MIT Langreichweitigen Potentialen (Fredholm Equations for the Three-Particle Resolver of Schroedinger Operators with Long Range Potentials) [R] . Knabe, S. 1987

机译：Fredholmgleichungen fuer die 3-Teilchen-Resolvente von schroedingeroperatoren mIT Langreichweitigen potentialen（具有远程电位的schroedinger算子的三粒子解析器的Fredholm方程）

Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential

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