Mode stability of self-similar wave maps in higher dimensions
  We consider co-rotational wave maps from Minkowski space in $d+1$ dimensions to the $d$-sphere. Recently, Bizo\'n and Biernat found explicit self-similar solutions for each dimension $d\geq 4$. We give a rigorous proof for the mode stability of these self-similar wave maps. 
Ovidiu Costin, Roland Donninger, Irfan Glogi\'c
math.AP math-ph math.MP math.SP