Mitchell I. Weinstein
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Mitchell I. Weinsteinmathematics Degrees
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Measure Theory
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Mathematics
Mitchell I. Weinstein's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
Why Is Mitchell I. Weinstein Influential?
(Suggest an Edit or Addition)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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