Monica Vișan | Academic Influence

Monica Vișan's AcademicInfluence.com Rankings

Monica Vișan

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

mathematics Degrees

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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?

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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.

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Monica Vișan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

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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