Hardy's uncertainty principle, convexity and Schrödinger evolutions
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 883-907
We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schrödinger 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.
@article{JEMS_2008_10_4_a1,
author = {Luis Escauriaza and Carlos E. Kenig and Gustavo Ponce and Luis Vega},
title = {Hardy's uncertainty principle, convexity and {Schr\"odinger} evolutions},
journal = {Journal of the European Mathematical Society},
pages = {883--907},
year = {2008},
volume = {10},
number = {4},
doi = {10.4171/jems/134},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/134/}
}
TY - JOUR AU - Luis Escauriaza AU - Carlos E. Kenig AU - Gustavo Ponce AU - Luis Vega TI - Hardy's uncertainty principle, convexity and Schrödinger evolutions JO - Journal of the European Mathematical Society PY - 2008 SP - 883 EP - 907 VL - 10 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/134/ DO - 10.4171/jems/134 ID - JEMS_2008_10_4_a1 ER -
%0 Journal Article %A Luis Escauriaza %A Carlos E. Kenig %A Gustavo Ponce %A Luis Vega %T Hardy's uncertainty principle, convexity and Schrödinger evolutions %J Journal of the European Mathematical Society %D 2008 %P 883-907 %V 10 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/134/ %R 10.4171/jems/134 %F JEMS_2008_10_4_a1
Luis Escauriaza; Carlos E. Kenig; Gustavo Ponce; Luis Vega. Hardy's uncertainty principle, convexity and Schrödinger evolutions. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 883-907. doi: 10.4171/jems/134
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