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math.AP2018★ 5 cited
Blowup stability at optimal regularity for the critical wave equation
Roland Donninger, Ziping Rao
We establish Strichartz estimates for the radial energy-critical wave equation in 5 dimensions in similarity coordinates. Using these, we prove the nonlinear asymptotic stability o…
math-ph2018
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…