47 citations · 203 across the 36 of their papers we have counts for
Showing 2014 · math.APShow all
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math.AP2014★ 1 cited
Sharp lower bounds for Coulomb energy
Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa
We prove lower bounds for Coulomb energy for radially symmetric functions in with . In case we show that the lo…
math.AP2014★ 14 cited
Finite time extinction for nonlinear Schrodinger equation in 1D and 2D
Rémi Carles, Tohru Ozawa
We consider a nonlinear Schrodinger equation with power nonlinearity, either on a compact manifold without boundary, or on the whole space in the presence of harmonic confinement,…
math.AP2014★ 9 cited
An Improvement on the Brézis-Gallouët technique for 2D NLS and 1D half-wave equation
Tohru Ozawa, Nicola Visciglia
We revise the classical approach by Brézis-Gallouët to prove global well posedness for nonlinear evolution equations. In particular we prove global well--posedness for the quartic…