# Monica Vișan

#12,091

Most Influential Person Now

Romanian mathematician

## Monica Vișan's AcademicInfluence.com Rankings

Monica Vișanmathematics Degrees

Mathematics

#513

World Rank

#1003

Historical Rank

Number Theory

#94

World Rank

#129

Historical Rank

Algebra

#142

World Rank

#224

Historical Rank

Measure Theory

#650

World Rank

#890

Historical Rank

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Mathematics

## Monica Vișan's Degrees

- PhD Mathematics University of Bucharest
- Bachelors Mathematics University of Bucharest

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## Why Is Monica Vișan Influential?

(Suggest an Edit or Addition)According to Wikipedia, Monica Vișan is a Romanian mathematician at the University of California, Los Angeles who specializes in partial differential equations and is well known for her work on the nonlinear Schrödinger equation.

## Monica Vișan's Published Works

### Published Works

- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities (2005) (252)
- The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher (2008) (249)
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions (2005) (249)
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4 (2005) (242)
- The cubic nonlinear Schr\"odinger equation in two dimensions with radial data (2007) (222)
- The mass-critical nonlinear Schr\"odinger equation with radial data in dimensions three and higher (2007) (158)
- Minimal-mass blowup solutions of the mass-critical NLS (2006) (156)
- Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions (2007) (155)
- STABILITY OF ENERGY-CRITICAL NONLINEAR SCHR¨ ODINGER EQUATIONS IN HIGH DIMENSIONS (2005) (142)
- Energy-Supercritical NLS: Critical Ḣ s -Bounds Imply Scattering (2008) (83)
- The defocusing energy-supercritical nonlinear wave equation in three space dimensions (2010) (82)
- KdV is well-posed in H–1 (2018) (81)
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential (2015) (78)
- The energy-critical NLS with inverse-square potential (2015) (73)
- Dispersive Equations and Nonlinear Waves (2014) (71)
- The focusing cubic NLS with inverse-square potential in three space dimensions (2016) (71)
- Low regularity conservation laws for integrable PDE (2017) (66)
- Global well-posedness and scattering for the defocusing quintic NLS in three dimensions (2011) (65)
- Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin (2017) (64)
- The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions (2010) (62)
- Scale invariant Strichartz estimates on tori and applications (2014) (61)
- Blowup behaviour for the nonlinear Klein–Gordon equation (2012) (57)
- Scattering for the cubic Klein–Gordon equation in two space dimensions (2010) (55)
- On the mass-critical generalized KdV equation (2009) (53)
- Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions (2012) (50)
- Quintic NLS in the exterior of a strictly convex obstacle (2012) (49)
- A Counterexample to Dispersive Estimates for Schrödinger Operators in Higher Dimensions (2005) (44)
- Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$R3 (2014) (41)
- Global well-posedness and scattering for the mass-critical nonlinear Schr\"odinger equation for radial data in high dimensions (2006) (40)
- Almost sure scattering for the energy-critical NLS with radial data below (2017) (39)
- Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (2014) (33)
- Energy-Critical NLS with Quadratic Potentials (2006) (32)
- Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schr\"odinger equations with non-vanishing boundary conditions (2011) (29)
- Riesz Transforms Outside a Convex Obstacle (2012) (26)
- Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS (2008) (24)
- Invariance of white noise for KdV on the line (2019) (24)
- Global existence and scattering for rough solutions to generalized nonlinear Schr\"odinger equations on $\R$ (2006) (23)
- Global well-posedness and scattering for the defocusing cubic NLS in four dimensions (2010) (21)
- The focusing cubic NLS on exterior domains in three dimensions (2015) (20)
- Large data mass-subcritical NLS: critical weighted bounds imply scattering (2016) (17)
- On the Blowup for the L2-Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class (2006) (16)
- Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space (2006) (15)
- Smooth solutions to the nonlinear wave equation can blow up on Cantor sets (2011) (15)
- On the well-posedness problem for the derivative nonlinear Schr\"odinger equation (2021) (13)
- Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering (2008) (11)
- Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold (2021) (11)
- The radial mass-subcritical NLS in negative order Sobolev spaces (2018) (9)
- Orbital Stability of KdV Multisolitons in H-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{-1}$$\end{document} (2020) (8)
- The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions (2018) (8)
- Large-data equicontinuity for the derivative NLS (2021) (8)
- Multipliers and Riesz transforms for the Schr\"odinger operator with inverse-square potential (2015) (8)
- Harmonic analysis outside a convex obstacle (2012) (6)
- Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$ (2020) (6)
- The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions (2015) (5)
- WELL-POSEDNESS AND SCATTERING FOR THE MASS-CRITICAL NONLINEAR SCHRÖDINGER EQUATION FOR RADIAL DATA IN HIGH DIMENSIONS (2008) (5)
- Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2 (2016) (5)
- The nonlinear Schr (2005) (4)
- Cubic-quintic NLS: scattering beyond the virial threshold (2020) (4)
- Symplectic non-squeezing for the cubic NLS on the line (2016) (4)
- Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$ (2019) (4)
- Mass-critical inverse Strichartz theorems for 1d Schrödinger operators (2019) (3)
- Functions of bounded p-variation (2014) (2)
- Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$ (2021) (2)
- Microscopic conservation laws for integrable lattice models (2020) (2)
- OBERWOLFACH SEMINAR: DISPERSIVE EQUATIONS (2013) (2)
- The scattering map determines the nonlinearity (2022) (2)
- Invariant Measures for Integrable Spin Chains and an Integrable Discrete Nonlinear Schrödinger Equation (2020) (2)
- Continuum limit for the Ablowitz--Ladik system (2022) (1)
- The initial-value problem for the cubic-quintic NLS with non-vanishing boundary conditions (2017) (1)
- Appendic C: The Fourier transform (2014) (0)
- Large data mass-subcritical NLS: critical weighted bounds imply scattering (2017) (0)
- Frequency-localized interaction Morawetz inequalities and applications (2014) (0)
- Dispersive and Strichartz estimates (2014) (0)
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential (2017) (0)
- Strichartz estimates and small data for the nonlinear Schrödinger equation (2014) (0)
- Sharp well-posedness for the Benjamin--Ono equation (2023) (0)
- An inverse Strichartz inequality (2014) (0)
- A linear profile decomposition (2014) (0)
- Appendix B: Bessel functions (2014) (0)
- Appendix A: Background material (2014) (0)
- Stationary phase and dispersive estimates (2014) (0)
- Sonin's argument, the shape of solitons, and the most stably singular matrix (2018) (0)
- Low regularity conservation laws for integrable PDE (2018) (0)
- Appendix A: Young’s inequality and interpolation (2014) (0)
- A large data critical problem (2014) (0)
- Inverse Strichartz estimates for 1d Schr\"odinger operators with potentials of quadratic growth (2015) (0)
- Convolution of measures on hypersurfaces, bilinear estimates, and local smoothing (2014) (0)
- Long-time Strichartz estimates and applications (2014) (0)
- Global Well-posedness and Scattering for the Defocusing Energy-critical Nonlinear Schr¨odinger Equation in R (2008) (0)
- Maps into manifolds (2014) (0)
- Global well-posedness for the derivative nonlinear Schr\"odinger equation in $L^2(\mathbb{R})$ (2022) (0)
- Remarks on countable subadditivity (2023) (0)
- Invariant measures for integrable spin chains and integrable discrete NLS (2018) (0)
- A Palais–Smale type condition (2014) (0)
- Well-posedness for nonlinear dispersive equations (2014) (0)
- A P ] 2 0 O ct 2 01 0 ENERGY-CRITICAL NLS WITH QUADRATIC POTENTIALS (2019) (0)
- Blowup behaviour for the nonlinear Klein–Gordon equation (2013) (0)
- Existence of minimal blowup solutions and their properties (2014) (0)
- A P ] 4 J an 2 01 7 MASS-CRITICAL INVERSE STRICHARTZ THEOREMS FOR 1 D SCHRÖDINGER OPERATORS (2017) (0)
- A P ] 6 D ec 2 01 1 GLOBAL WELL-POSEDNESS OF THE GROSS – PITAEVSKII AND CUBIC-QUINTIC NONLINEAR SCHRÖDINGER EQUATIONS WITH NON-VANISHING BOUNDARY CONDITIONS (2021) (0)
- Stability theory for the energy-critical NLS (2014) (0)

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## What Schools Are Affiliated With Monica Vișan?

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