Hardy's uncertainty principle, convexity and Schrödinger evolutions

Escauriaza, Luis, et al. "Hardy's uncertainty principle, convexity and Schrödinger evolutions." Journal of the European Mathematical Society 010.4 (2008): 883-907. <http://eudml.org/doc/277415>.

@article{Escauriaza2008,
abstract = {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.},
author = {Escauriaza, Luis, Kenig, Carlos E., Ponce, G., Vega, Luis},
journal = {Journal of the European Mathematical Society},
keywords = {Schrödinger evolutions; Schrödinger equations; unique continuation; linear and nonlinear Schrödinger equations; logarithmic convexity},
language = {eng},
number = {4},
pages = {883-907},
publisher = {European Mathematical Society Publishing House},
title = {Hardy's uncertainty principle, convexity and Schrödinger evolutions},
url = {http://eudml.org/doc/277415},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Escauriaza, Luis
AU - Kenig, Carlos E.
AU - Ponce, G.
AU - Vega, Luis
TI - Hardy's uncertainty principle, convexity and Schrödinger evolutions
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 4
SP - 883
EP - 907
AB - 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.
LA - eng
KW - Schrödinger evolutions; Schrödinger equations; unique continuation; linear and nonlinear Schrödinger equations; logarithmic convexity
UR - http://eudml.org/doc/277415
ER -