Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions
Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions
复制标题
具有 Robin 边界条件的简并抛物型问题的近似乘性可控性
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
G. Floridia
中科院分区：
文献类型：
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作者：
P. Cannarsa;G. Floridia
本文研究了一类弱退化抛物型Cauchy-Robin问题的全局近似乘能控性。该问题是弱退化的意义上的扩散系数是积极的内部的域，并允许消失的边界，提供的倒数的扩散系数是可求和的。在本文中，我们将表明，上述系统可以引导，在平方可和函数的空间中，从任何非零，非负的初始状态到任何期望的非负目标状态的任何邻域的双线性静态控制。此外，我们放宽了对初态的符号约束，推广了上述结果。
IIn this work we study the global approximate multiplicative controllability for a weakly degenerate parabolic Cauchy-Robin problem. The problem is weakly degenerate in the sense that the diffusion coefficient is positive in the interior of the domain and is allowed to vanish at the boundary, provided the reciprocal of the diffusion coefficient is summable. In this paper, we will show that the above system can be steered, in the space of square-summable functions, from any nonzero, nonnegative initial state into any neighborhood of any desirable nonnegative target-state by bilinear static controls. Moreover, we extend the above result relaxing the sign constraint on the initial-state.