93 citations · 337 across the 42 of their papers we have counts for
8 papers · 1 filter
Existence and stability of Schrödinger solitons on noncompact manifolds
David Borthwick, Roland Donninger, Enno Lenzmann +1
We consider the focusing nonlinear Schrödinger equation on a large class of rotationally symmetric, noncompact manifolds. We prove the existence of a solitary wave by perturbing of…
Linear stability of the Skyrmion
Matthew Creek, Roland Donninger, Wilhelm Schlag +1
We give a rigorous proof for the linear stability of the Skyrmion. In addition, we provide new proofs for the existence of the Skyrmion and the GGMT bound.
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…
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…
Spectral Properties and Stability of Self-Similar Wave Maps
Roland Donninger
In this thesis the Cauchy problem and in particular the question of singularity formation for co--rotational wave maps from 3+1 Minkowski space to the three--sphere is studie…
Spectral Properties and Linear Stability of Self-Similar Wave Maps
Roland Donninger, Peter C. Aichelburg
We study co--rotational wave maps from --Minkowski space to the three--sphere . It is known that there exists a countable family of self--similar solutions. W…