93 citations · 337 across the 42 of their papers we have counts for
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math.AP2014★ 1 cited
A Proof for the Mode Stability of a Self-similar Wave Map
Ovidiu Costin, Roland Donninger, Xiaoyue Xia
We study the fundamental self-similar solution to the SU(2) sigma model, found by Shatah and Turok-Spergel. We give a rigorous proof for its mode stability. Based on earlier result…
math.AP2014★ 33 cited
On blowup in supercritical wave equations
Roland Donninger, Birgit Schörkhuber
We study the blowup behavior for the focusing energy-supercritical semilinear wave equation in 3 space dimensions without symmetry assumptions on the data. We prove the stability o…
math.SP2014★ 1 cited
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d)
Roland Donninger, Birgit Schörkhuber
We consider Ornstein-Uhlenbeck operators perturbed by a radial potential. Under weak assumptions we prove a spectral mapping theorem for the generated semigroup. The proof relies o…