14 citations · 30 across the 7 of their papers we have counts for
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math.AP2014★ 5 cited
Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on
Rowan Killip, Tadahiro Oh, Oana Pocovnicu +1
We consider the cubic-quintic nonlinear Schrödinger equation: \[ i\partial_t u = -Δu - |u|^2u + |u|^4u. \] In the first part of the paper, we analyze the one-parameter family of gr…
math.AP2014★ 3 cited
Scale invariant Strichartz estimates on tori and applications
Rowan Killip, Monica Visan
We prove scale-invariant Strichartz inequalities for the Schrodinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a unifi…