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Uniqueness and nondegeneracy of ground states for non-local equations in 1D

Date: 
Thursday 2nd August 2012 - 14:00 to 14:45
Venue: 
INI Seminar Room 1
Abstract: 
We prove uniqueness of energy minimizing solutions Q for the nonlinear equation (-\Delta)^s Q + Q - Q^{\alpha+1}= 0 in 1D, where 0
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons