论文标题
球形logvinenko-sereda-kovrijkine型不平等和球方程无效的可控制性
Spherical Logvinenko-Sereda-Kovrijkine type inequality and null-controllability of the heat equation on the sphere
论文作者
论文摘要
结果表明，多项式对球体的限制满足了logvinenko-sereda-kovrijkine型不等式 （特定类型的不确定性关系）。 这意味着拉普拉斯 - 贝特拉米操作员的光谱不平等，这又产生了 对球形热方程的控制成本的明确估算值的可观察性和无效的可控性 在较大的时间和小时制度中敏锐。
It is shown that the restriction of a polynomial to a sphere satisfies a Logvinenko-Sereda-Kovrijkine type inequality (a specific type of uncertainty relation). This implies a spectral inequality for the Laplace-Beltrami operator, which, in turn, yields observability and null-controllability with explicit estimates on the control costs for the spherical heat equation that are sharp in the large and in the small time regime.
