Visan, Monica
- 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
- The nonlinear Schrödinger equation with combined power-type nonlinearities
2005/11/03 by Tao, Terence, Visan, Monica, Zhang, Xiaoyi · 8 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- KdV is wellposed in H-1
2018/02/13 by Killip, Rowan, Visan, Monica · 11 citations
#35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
- 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
- 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
- The cubic nonlinear Schrödinger equation in two dimensions with radial data
2007/07/21 by Killip, Rowan, Tao, Terence, Visan, Monica · 4 citations
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Global well-posedness and scattering for the defocusing quintic NLS in three dimensions
2011/02/06 by Killip, Rowan, Visan, Monica · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Sharp well-posedness for the Benjamin--Ono equation
2023/03/31 by Killip, Rowan, Laurens, Thierry, Visan, Monica · 8 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Minimal-mass blowup solutions of the mass-critical NLS
2006/09/25 by Tao, Terence, Visan, Monica, Zhang, Xiaoyi · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Energy-supercritical NLS: critical Hs-bounds imply scattering
2008/12/11 by Rowan Killip, Monica Vişan, Killip, Rowan +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
- The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
2010/02/09 by Killip, Rowan, Visan, Monica · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Low regularity conservation laws for integrable PDE
2017/08/17 by Killip, Rowan, Visan, Monica, Zhang, Xiaoyi · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Large-data equicontinuity for the derivative NLS
2021/06/24 by Harrop-Griffiths, Benjamin, Killip, Rowan, Visan, Monica · 2 citations
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Dispersive decay for the mass-critical nonlinear Schrödinger equation
2024/03/15 by Fan, Chenjie, Killip, Rowan, Visan, Monica +1 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The defocusing energy-supercritical nonlinear wave equation in three space dimensions
2010/01/11 by Killip, Rowan, Visan, Monica · 1 citation
#35L71 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Riesz transforms outside a convex obstacle
2012/05/25 by Killip, Rowan, Visan, Monica, Zhang, Xiaoyi · 1 citation
#42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on ℝ3
2014/09/23 by Killip, Rowan, Oh, Tadahiro, Pocovnicu, Oana +1 · 1 citation
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on \R2
2016/06/24 by Rowan Killip, Killip, Rowan, Monica Vişan +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
- Symplectic non-squeezing for the cubic NLS on the line
2016/06/30 by Killip, Rowan, Visan, Monica, Zhang, Xiaoyi · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- 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
- Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions
2011/12/06 by Killip, Rowan, Oh, Tadahiro, Pocovnicu, Oana +1 · 1 citation
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- 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
- Scaling-critical well-posedness for continuum Calogero-Moser models
2023/11/21 by Killip, Rowan, Laurens, Thierry, Visan, Monica · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Invariant measures for mKdV and KdV in infinite volume
2024/01/09 by Forlano, Justin, Killip, Rowan, Visan, Monica · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Global well-posedness for the fifth-order KdV equation in H-1(ℝ)
2019/12/03 by Bjoern Bringmann, Rowan Killip, Bringmann, Bjoern +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity
2025/07/19 by Harrop-Griffiths, Benjamin, Killip, Rowan, Visan, Monica · 4 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics