Mitchell I. Weinstein

Mitchell I. Weinstein's AcademicInfluence.com Rankings

Mathematics

#6637

World Rank

#9154

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Measure Theory

#1480

World Rank

#1851

Historical Rank

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Mathematics

Mitchell I. Weinstein's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University

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Mitchell I. Weinstein'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

Nonlinear Schrödinger equations and sharp interpolation estimates (1983) (1312)
Lyapunov stability of ground states of nonlinear dispersive evolution equations (1986) (766)
Modulational Stability of Ground States of Nonlinear Schrödinger Equations (1985) (739)
Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation (1991) (431)
Eigenvalues, and instabilities of solitary waves (1992) (407)
Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations (1998) (308)
On asymptotic stability of solitary waves (1992) (288)
Multichannel nonlinear scattering for nonintegrable equations (1990) (284)
Cloaking via change of variables in electric impedance tomography (2008) (221)
Multichannel nonlinear scattering for nonintegrable equations II. The case of anisotropic potentials and data (1992) (216)
Honeycomb Lattice Potentials and Dirac Points (2012) (195)
Excitation thresholds for nonlinear localized modes on lattices (1999) (195)
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation (1987) (194)
Strong NLS Soliton-Defect Interactions (2002) (189)
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations (1986) (177)
On the bound states of the nonlinear Schrödinger equation with a linear potential (1988) (173)
Asymptotic stability of solitary waves (1994) (158)
Cloaking via change of variables for the Helmholtz equation (2010) (150)
Selection of the ground state for nonlinear schrödinger equations (2003) (148)
The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence (1986) (137)
Time Dependent Resonance Theory (1998) (120)
Oscillatory instability of traveling waves for a KdV-Burgers equation (1993) (118)
Wave Packets in Honeycomb Structures and Two-Dimensional Dirac Equations (2012) (116)
Spontaneous symmetry breaking in photonic lattices: Theory and experiment (2004) (100)
Soliton dynamics in the discrete nonlinear Schrödinger equation (1996) (99)
Stopping light on a defect (2001) (92)
Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure (2006) (90)
A Variational Perspective on Cloaking by Anomalous Localized Resonance (2012) (88)
Asymptotic stability of solitary waves for the regularized long-wave equation (1996) (85)
Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross—Pitaevskii Equation (2003) (83)
Waves in nonlinear lattices: ultrashort optical pulses and Bose-Einstein condensates. (2006) (82)
Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations (2007) (77)
Nonlinear Propagation of Light in One-Dimensional Periodic Structures (2000) (75)
A stable manifold theorem for the curve shortening equation (1987) (74)
A multiscale model of partial melts: 2. Numerical results (2009) (73)
Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model (2002) (70)
A Multiscale Model of Partial Melts 1: Effective Equations (2009) (67)
Edge States in Honeycomb Structures (2015) (63)
Honeycomb Schrödinger Operators in the Strong Binding Regime (2016) (63)
Mode-locking pulse dynamics in a fiber laser with a saturable Bragg reflector (1997) (60)
Topologically protected states in one-dimensional continuous systems and Dirac points (2014) (59)
Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities (1987) (56)
Asymptotic behavior of stability regions for Hill's equation (1987) (55)
Elliptic Operators with Honeycomb Symmetry: Dirac Points, Edge States and Applications to Photonic Graphene (2017) (54)
Multichannel nonlinear scattering theory for nonintegrable equations (1989) (53)
Convective Linear Stability of Solitary Waves for Boussinesq Equations (1997) (52)
Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons. (2008) (51)
Topologically Protected States in One-Dimensional Systems (2014) (51)
Degenerate dispersive equations arising in the study of magma dynamics (2006) (46)
Defect Modes and Homogenization of Periodic Schrödinger Operators (2010) (46)
Hill's equation with a large potential (1985) (42)
Theory of nonlinear dispersive waves and selection of the ground state. (2005) (39)
Dynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes (2008) (39)
Nonautonomous Hamiltonians (1998) (38)
Band-Edge Solitons, Nonlinear Schrödinger/Gross-Pitaevskii Equations, and Effective Media (2010) (37)
Long time dynamics near the symmetry breaking bifurcation for nonlinear Schr\"odinger/Gross-Pitaevskii Equations (2009) (32)
Oscillatory instability of solitary waves in a continuum model of lattice vibrations (1995) (32)
Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications (2010) (30)
Erratum: Cloaking via change of variables for the Helmholtz equation (2010) (30)
Radiation Induced Instability (2004) (29)
Defect Modes for Dislocated Periodic Media (2018) (28)
Parametrically Excited Hamiltonian Partial Differential Equations (2000) (27)
Edge states and the valley Hall effect (2019) (26)
Optimization of scattering resonances (2008) (26)
Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier (2014) (24)
Bifurcations of edge states—topologically protected and non-protected—in continuous 2D honeycomb structures (2015) (24)
Waves in Honeycomb Structures (2012) (23)
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations (1996) (23)
Scattering and Localization Properties of Highly Oscillatory Potentials (2012) (21)
Metastability of Breather Modes of Time Dependent Potentials (2000) (21)
Long-Lived Scattering Resonances and Bragg Structures (2013) (20)
Evans' Function, Melnikov's Integral, and Solitary Wave Instabilities (1993) (20)
Metastable States in Parametrically Excited Multimode Hamiltonian Systems (2003) (19)
EXCITATION AND DYNAMICS OF PULSES IN COUPLED FIBER ARRAYS (1996) (18)
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems (2002) (18)
Scattering Resonances of Microstructures and Homogenization Theory (2005) (17)
Stability and instability of nonlinear defect states in the coupled mode equations—Analytical and numerical study (2007) (17)
Gyroscopically Stabilized Oscillators and Heat Baths (2004) (16)
Mathematical frontiers in optical solitons (2001) (15)
On a Hamiltonian PDE arising in Magma Dynamics (2008) (15)
Homogenized description of defect modes in periodic structures with localized defects (2013) (15)
Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System (2012) (15)
Photonic realization of topologically protected bound states in domain-wall waveguide arrays (2016) (15)
Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities (2010) (14)
Asymptotic Stability of Ascending Solitary Magma Waves (2008) (14)
Wavepackets in Inhomogeneous Periodic Media: Propagation Through a One-Dimensional Band Crossing (2017) (13)
Localized States and Dynamics in the Nonlinear Schrödinger/Gross-Pitaevskii Equation (2015) (13)
Continuum Schroedinger Operators for Sharply Terminated Graphene-Like Structures (2018) (12)
Discrete Solitary Waves in Systems with Nonlocal Interactions and the Peierls–Nabarro Barrier (2016) (12)
Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature (2016) (12)
Ionization and Scattering for Short-Lived Potentials (1999) (11)
Radiation induced instability in interconnected systems (1999) (11)
Edge States of continuum Schroedinger operators for sharply terminated honeycomb structures (2018) (11)
Radiative Decay of Bubble Oscillations in a Compressible Fluid (2010) (10)
On the ground states of vector nonlinear Schrödinger equations (1996) (10)
Tight-binding reduction and topological equivalence in strong magnetic fields (2020) (10)
Resonances of a Potential Well with a Thick Barrier (2013) (10)
Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation (2010) (9)
Equipartition of Mass in Nonlinear Schr\"odinger / Gross-Pitaevskii Equations (2010) (9)
Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation (2013) (9)
Homogenization expansion for resonances of microstructured photonic waveguides (2003) (9)
Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations (2003) (9)
Dirac Operators and Domain Walls (2018) (8)
Landau levels in strained two-dimensional photonic crystals (2020) (8)
Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations (2010) (8)
High Contrast Elliptic Operators in Honeycomb Structures (2021) (7)
Observation of highly robust phase-defect induced photonic states (2016) (7)
Lower Bound on Quantum Tunneling for Strong Magnetic Fields (2020) (7)
Oscillatory and Localized Perturbations of Periodic Structures and the Bifurcation of Defect Modes (2013) (7)
Chapter 16 - Extended Hamiltonian Systems (2006) (6)
On the Vortex Solutions of Some Nonlinear Scalar Field Equations (1991) (6)
A class of eigenvalue problems, with applications to instability of solitary waves (1991) (5)
Is the continuum SSH model topological? (2021) (5)
Effective Gaps in Continuous Floquet Hamiltonians (2021) (4)
The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension (2012) (4)
Asymptotic stability of nonlinear bound states in conserva-tive dispersive systems (1995) (4)
Wave dynamics in optically modulated waveguide arrays. (2005) (4)
Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators (2018) (4)
Broad Band Solitons in a Periodic and Nonlinear Maxwell System (2011) (4)
Equipartition of Mass in Nonlinear Schr (2010) (3)
Stopping light on a defect: erratum (2002) (3)
Reaction of azoxyanisole with oxalyl chloride: use of photoelectron spectroscopy in seeking new reactions (1980) (3)
Time dependent resonance theory and perturbations of embedded eigenvalues (1997) (3)
Modelocking Pulse Dynamics in a Ber Laser with a Saturable Bragg Reeector (1997) (2)
Resonances of microstructured photonic waveguides and higher order homogenization expansion (2003) (2)
Gyroscopic classical and quantum oscillators interacting with heat baths (2001) (2)
RESONANCE PROBLEMS IN PHOTONICS (2007) (2)
Transient radiative behavior of Hamiltonian systems in finite domains (2005) (2)
Vertex-, Bond- and Cell-centered Bound States of the Discrete Nonlinear Schroedinger Equation in Dimensions 1, 2 and 3 (2014) (2)
Focusing Singularity for the Nonlinear Schroedinger Equation (1983) (2)
A Reaction Dispersion System and Raman Interactions (2005) (2)
FREE BOUNDARY PROBLEM FOR A GAS BUBBLE IN A LIQUID, AND ASYMPTOTIC STABILITY OF THE MANIFOLD OF SPHERICALLY SYMMETRIC EQUILIBRIA (2022) (1)
Interaction of NLS Solitons with defects: Numerical Experiments and Finite-dimensional modeling (2002) (1)
Wave Packets in Honeycomb Structures and Two-Dimensional Dirac Equations (2013) (1)
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits (2022) (1)
Radiative decay of edge states in Floquet media (2022) (1)
Gafa Geometric and Functional Analysis Time Dependent Resonance Theory (1998) (1)
Theory of Nonlinear Pulse Propagation in Periodic Structures (2003) (1)
Elliptic Operators with Honeycomb Symmetry: Dirac Points, Edge States and Applications to Photonic Graphene (2018) (0)
2 M ar 2 00 0 Dynamics of lattice kinks (2000) (0)
Edge states in rationally terminated honeycomb structures. (2022) (0)
Nonlinear stability of oscillatory pulses in the PNLS (2017) (0)
P S ] 5 S ep 2 00 3 Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross-Pitaevskii equation (2004) (0)
Defect Modes for Dislocated Periodic Media (2020) (0)
Discrete honeycombs, rational edges and edge states (2022) (0)
TE Band Structure for High Contrast Honeycomb Media (2020) (0)
A Variational Perspective on Cloaking by Anomalous Localized Resonance (2014) (0)
Wavepackets in Inhomogeneous Periodic Media: Propagation Through a One-Dimensional Band Crossing (2018) (0)
Discrete Solitary Waves in Systems with Nonlocal Interactions and the Peierls–Nabarro Barrier (2017) (0)
A homogenization-based study of the scattering resonances of a microstructured slab (0)
Edge States in Honeycomb Structures (2016) (0)
On asymptoticstability of solitary waves (0)
Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria (2022) (0)
Lectures on Linear and Nonlinear Dispersive Waves DRAFT IN PROGRESS (2006) (0)
Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array (2023) (0)
Mathematics of topological insulators (2021) (0)
Communications in Mathematical Physics Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations (2005) (0)
Stability of Solitary Waves in a Deformable Porous Media (2008) (0)
Near invariance of quasi-energy spectrum of Floquet Hamiltonians (2023) (0)
Analysis of nonlinear wave equations and applications in engineering (2010) (0)
Landau Levels in Inhomogeneously Strained Photonic Crystals (2020) (0)
Eigenvalues , and Instabilities of Solitary Waves Author ( s ) : (2007) (0)
Dynamics of waves in continuum honeycomb structures (2020) (0)

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