Junyong Zhang

activity

20152025

most citedSobolev spaces adapted to the Schrödinger operator with inverse-square potential

12 citations · 28 across the 8 of their papers we have counts for

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Showing 2015 · math.APShow all

2 papers · 2 filters

math.AP2015★ 9 cited

The energy-critical NLS with inverse-square potential

R. Killip, C. Miao, M. Visan +2

We consider the defocusing energy-critical nonlinear Schrödinger equation with inverse-square potential $i u_{t} = - Δ u + a ∣ x ∣^{- 2} u + ∣ u ∣^{4} u$ in three space dimensions. We prove globa…

math.AP2015★ 12 cited

Sobolev spaces adapted to the Schrödinger operator with inverse-square potential

R. Killip, C. Miao, M. Visan +2

We study the $L^{p}$ -theory for the Schrödinger operator $L_{a}$ with inverse-square potential $a ∣ x ∣^{- 2}$ . Our main result describes when $L^{p}$ -based Sobolev spaces defined i…