Nonlinear stability of self–similar solutions for semilinear wave equations

  • Roland Donninger
  • Published 2008


We prove nonlinear stability of the fundamental self–similar solution of the wave equation with a focusing power nonlinearity ψtt − ∆ψ = ψ for p = 3, 5, 7, . . . in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates. 


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