Analyticity of Solutions to Parabolic Evolutions and Applications
Analyticity of Solutions to Parabolic Evolutions and Applications
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DOI：
10.1137/15m1039705
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发表时间：
2015-09
期刊：
影响因子：
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通讯作者：
L. Escauriaza;S. Montaner;Can Zhang
中科院分区：
文献类型：
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作者：
L. Escauriaza;S. Montaner;Can Zhang
我们发现了解析系数接近初始时间的线性抛物方程解的时空解析性的新定量估计。我们应用估计来获得可观测性不等式和可测量集上抛物线演化的零可控性。
We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and null-controllability of parabolic evolutions over measurable sets.