Monica Vişan

1. The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
   2005/08/16 by Monica Vişan, Visan, Monica · 10 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
2. 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 · 13 citations
   Mathematics · Physics and Astronomy · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #advanced mathematical theories
3. Scale invariant Strichartz estimates on tori and applications
   2014/09/11 by Rowan Killip, Killip, Rowan, Monica Vişan +1 · 6 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, Killip, R., C. Miao +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. 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
8. Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on \R²
   2016/06/24 by Rowan Killip, Monica Vişan, Killip, Rowan +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
9. Global well-posedness and scattering for the defocusing cubic NLS in\n four dimensions
   2010/11/05 by Monica Vişan, Visan, Monica · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #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 · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics
11. Bounded solutions of KdV: uniqueness and the loss of almost periodicity
    2022/09/15 by Andreia Chapouto, Chapouto, Andreia, Rowan Killip +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