On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation

• Autores: Dong Li, Xiaoyi Zhang
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 4, 2009, págs. 1171-1192
• Idioma: inglés
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• Resumen

  • Consider the focusing mass-critical nonlinear Hartree equation iut+?u=-(||-2*|u|2)u for spherically symmetric initial data with ground state mass M(Q) in dimension d5. We show that any global solution u which does not scatter must be the solitary wave eitQ up to phase rotation and scaling