Hardy's uncertainty principle, convexity and Schrödinger evolutions
Hardy's uncertainty principle, convexity and Schrödinger evolutions
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DOI：
10.4171/jems/134
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发表时间：
2008-02
影响因子：
2.6
通讯作者：
L. Escauriaza;C. Kenig;G. Ponce;L. Vega
中科院分区：
文献类型：
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作者：
L. Escauriaza;C. Kenig;G. Ponce;L. Vega
证明了Schr\“odinger演化解在无穷远处和两个特征超平面内的二次指数衰减的度量量的对数凸性.作为结果，我们得到一些唯一性结果，推广（弱形式）哈代版本的不确定性原则。我们还得到了相应的热演化结果
We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schr\"odinger evolutions. As a consequence we obtain some uniqueness results that generalize (a weak form of) Hardy's version of the uncertainty principle. We also obtain corresponding results for heat evolutions