Hardy's uncertainty principle, convexity and Schrödinger evolutions

• Autores: Luis Escauriaza Zubiria , Carlos E. Kenig, Gustavo Ponce , Luis Vega González
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 4, 2008, págs. 883-908
• Idioma: inglés
• DOI: 10.4171/jems/134
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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