93 citations · 337 across the 42 of their papers we have counts for
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math.AP2008★ 7 cited
Nonlinear stability of self-similar solutions for semilinear wave equations
Roland Donninger
We prove nonlinear stability of the fundamental self--similar solution of the wave equation with a focusing power nonlinearity for in the radial case.…
math-ph2008★ 3 cited
Asymptotics and analytic modes for the wave equation in similarity coordinates
Roland Donninger
We consider the radial wave equation in similarity coordinates within the semigroup formalism. It is known that the generator of the semigroup exhibits a continuum of eigenvalues a…
math-ph2008★ 8 cited
The Radial Wave Operator in Similarity Coordinates
Roland Donninger
We present a rigorous functional analytic setting to study the radial wave equation in similarity coordinates. As an application we analyse linear stability of the fundamental self…