123 citations · 547 across the 25 of their papers we have counts for
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math.AP2016★ 14 cited
Threshold for blowup for equivariant wave maps in higher dimensions
Paweł Biernat, Piotr Bizoń, Maciej Maliborski
We consider equivariant wave maps from to in supercritical dimensions . Using mixed numerical and analytic methods, we show that th…
math.AP2016★ 30 cited
Conformal flow on and weak field integrability in AdS
Piotr Bizoń, Ben Craps, Oleg Evnin +3
We consider the conformally invariant cubic wave equation on the Einstein cylinder for small rotationally symmetric initial data. This simple equat…
gr-qc2016★ 3 cited
Dynamics of Nonlinear Waves on Bounded Domains
Maciej Maliborski
This thesis is concerned with dynamics of conservative nonlinear waves on bounded domains. In general, there are two scenarios of evolution. Either the solution behaves in an oscil…