Rowan Killip

1. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
   2007/08/06 by Rowan Killip, Killip, Rowan, Monica Vişan +3 · 10 citations
   Mathematics · Physics and Astronomy · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #advanced mathematical theories
2. Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory
   2001/12/31 by Rowan Killip, Barry Simon · 4 citations
   Physics and Astronomy · Mathematics · #math-ph #math.CA #math.MP #msc:34L05 #msc:42C05 #msc:47B36 #msc:81Q10
3. Scale invariant Strichartz estimates on tori and applications
   2014/09/11 by Rowan Killip, Killip, Rowan, Monica Vişan +1 · 5 citations
   Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
4. Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on ℝ³ R 3
   2017/03/24 by Rowan Killip, Tadahiro Oh, Oana Pocovnicu +1 · 6 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics
5. The energy-critical NLS with inverse-square potential
   2015/09/18 by Rowan Killip, C. Miao, Killip, R. +7 · 3 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
6. Energy-supercritical NLS: critical H^s-bounds imply scattering
   2008/12/11 by Rowan Killip, Killip, Rowan, Monica Vişan +1 · 2 citations
   Mathematics · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics
7. A doubling measure on \R^d can charge a rectifiable curve
   2009/06/13 by John B. Garnett, Garnett, John, Rowan Killip +3 · 1 citation
   Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #advanced mathematical theories
8. Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
   2015/03/09 by Rowan Killip, Cong-rong Miao, Killip, R. +7 · 2 citations
   Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
9. Bounded solutions of KdV: uniqueness and the loss of almost periodicity
   2022/09/15 by Andreia Chapouto, Rowan Killip, Chapouto, Andreia +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
10. The nonlinear Schrödinger equation with sprinkled nonlinearity
    2024/05/02 by Benjamin Harrop‐Griffiths, Harrop-Griffiths, Benjamin, Rowan Killip +3 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics