Svetlana Roudenko
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Russian-American mathematician
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Svetlana Roudenkomathematics Degrees
Mathematics
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Algebraic Geometry
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Number Theory
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Measure Theory
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Mathematics
Svetlana Roudenko's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics Moscow State University
- Bachelors Mathematics Moscow State University
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Why Is Svetlana Roudenko Influential?
(Suggest an Edit or Addition)According to Wikipedia, Svetlana A. Roudenko is a Russian-American mathematician known for her work in functional analysis and partial differential equations, and in particular in scattering theory and nonlinear Schrödinger equations. She is also known for her mentorship of women in mathematics, and is a Diversity Mentor Professor and professor of mathematics and statistics at Florida International University.
Svetlana Roudenko's Published Works
Published Works
- A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation (2007) (276)
- Function spaces of variable smoothness and integrability (2007) (242)
- Scattering for the non-radial 3D cubic nonlinear Schroedinger equation (2007) (235)
- On Blow-up Solutions to the 3D Cubic Nonlinear Schrödinger Equation (2010) (87)
- Threshold solutions for the focusing 3D cubic Schrödinger equation (2008) (86)
- Matrix-weighted Besov spaces (2002) (80)
- Divergence of Infinite-Variance Nonradial Solutions to the 3D NLS Equation (2009) (54)
- Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation (2014) (49)
- Blow-up criteria for the 3D cubic nonlinear Schrödinger equation (2009) (44)
- Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1 (2004) (25)
- Maximizers for the Strichartz norm for small solutions of mass-critical NLS (2010) (24)
- A mathematical model of HIV and malaria co-infection in sub-Saharan Africa. (2012) (21)
- Duality of matrix-weighted Besov spaces (2004) (18)
- A class of solutions to the 3d cubic nonlinear Schroedinger equation that blow-up on a circle (2010) (18)
- Wavelet-Based De-noising of Positron Emission Tomography Scans (2012) (17)
- Global Behavior of Solutions to the Focusing Generalized Hartree Equation (2019) (16)
- Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation (2018) (15)
- Efficient Deterministic Compressed Sensing for Images with Chirps and Reed-Muller Codes (2011) (13)
- Image reconstruction by deterministic compressed sensing with chirp matrices (2009) (12)
- Blow-up dynamics and spectral property in the L2-critical nonlinear Schrödinger equation in high dimensions (2017) (12)
- On instability of solitons in the 2d cubic Zakharov–Kuznetsov equation (2017) (11)
- Blow-up dynamics in the mass super-critical NLS equations (2018) (11)
- Blow-up solutions on a sphere for the 3D quintic NLS in the energy space (2010) (11)
- Threshold solutions for the nonlinear Schrödinger equation (2020) (10)
- Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle (2020) (10)
- Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study (2020) (9)
- Instability of solitons–revisited, II: The supercritical Zakharov-Kuznetsov equation (2017) (9)
- Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation (2020) (9)
- On blow-up solutions to the 3D cubic nonlinear Schroedinger equation (2007) (9)
- Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation (2019) (8)
- Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise (2020) (8)
- Behavior of solutions to the 1D focusing stochastic L2-critical and supercritical nonlinear Schrödinger equation with space-time white noise (2020) (7)
- Stable blow‐up dynamics in the L2 ‐critical and L2 ‐supercritical generalized Hartree equation (2020) (7)
- Noise and Texture Detection in Image Processing (2005) (7)
- Instability of solitons–revisited, I: The critical generalized KdV equation (2017) (7)
- A solution to the focusing 3d NLS that blows up on a contracting sphere (2012) (6)
- Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions (2020) (6)
- Higher dimensional generalization of the Benjamin‐Ono equation: 2D case (2021) (6)
- Well-posedness and blow-up properties for the generalized Hartree equation (2020) (5)
- Stability of Efficient Deterministic Compressed Sensing for Images with Chirps and Reed-Muller Sequences (2013) (5)
- Using reed-muller sequences as deterministic compressed sensing matrices for image reconstruction (2010) (5)
- Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation (2020) (4)
- On well-posedness and blow-up in the generalized Hartree equation. (2019) (3)
- MASS CONCENTRATION WINDOW SIZE AND STRICHARTZ NORM DIVERGENCE RATE FOR THE L2-CRITICAL NONLINEAR SHRÖDINGER EQUATION (2007) (3)
- The Role of Transactional Sex in the Spread of HIV /AIDS: A Modeling Perspective (2009) (3)
- Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity (2022) (2)
- Critical and supercritical stochastic NLS: additive or multiplicative noise (2019) (2)
- Modeling the Influence of Environment and Intervention on Cholera in Haiti (2013) (2)
- Estimates on level set integral operators in dimension two (2005) (1)
- Traces and extensions of matrix‐weighted Besov spaces (2008) (1)
- A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions (2007) (1)
- Interaction with an obstacle in the 2d focusing nonlinear Schrödinger equation (2021) (1)
- On the focusing generalized Hartree equation (2020) (1)
- Global Behavior of Solutions to the Focusing 3d Cubic Nonlinear Schrödinger Equation (2009) (1)
- Littlewood–Paley theory for matrix-weighted function spaces (2019) (1)
- Stability and instability of solitary waves in fractional generalized KdV equation in all dimensions (2022) (1)
- Well-posedness in weighted spaces for the generalized Hartree equation with p < 2 (2020) (1)
- USING REED-MULLER CODES AS DETERMINISTIC COMPRESSED SENSING MATRICES FOR IMAGE RECONSTRUCTION (2009) (1)
- A remark on the concentration phenomenon for the L^2-critical nonlinear Schrodinger equations (2006) (0)
- Special Issue on Mathematical Methods in Medical Imaging (2012) (0)
- Reference number: SM 4991 DUALITY OF MATRIX-WEIGHTED BESOV SPACES (0)
- Local and Global well-posedness of stochastic generalized KdV equations (2017) (0)
- The Bioclimate of Cholera: The Case of Haiti (2013) (0)
- A P ] 1 3 O ct 2 02 2 THRESHOLD SOLUTIONS FOR THE HARTREE EQUATION ANUDEEP (2022) (0)
- Free Radical Oxidation Activity and Pigment Concentrations in Leaves of Mountain Birches Affected by Aerial Pollution (1997) (0)
- Criteria for Collapse in the Focusing Nonlinear Schrödinger Equation (2011) (0)
- Soliton dynamics of the gKdV equation subject to a random perturbation (2016) (0)
- Special Issue on Mathematical Methods in Medical Imaging (2012) (0)
- Wavelet-Based De-noising of Positron Emission Tomography Scans (2011) (0)
- GENERALIZED KDV EQUATION SUBJECT TO A STOCHASTIC PERTURBATION (2017) (0)
- On Blow-up Solutions to the 3D Cubic Nonlinear Schr.dinger Equation (2007) (0)
- Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation (2011) (0)
- Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation (2014) (0)
- On the generalized KdV equation subject to a random perturbation (2016) (0)
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