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Quasilinear Schrödinger Equations III: Large Data and Short Time

Archive for rational mechanics and analysis, 2021-11, Vol.242 (2), p.1119-1175

2021

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Limiting eigenfunctions of Sturm–Liouville operators subject to a spectral flow

Annales mathématiques du Québec, 2021-10, Vol.45 (2), p.249-269

2021

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Spectral analysis for matrix Hamiltonian operators

Nonlinearity, 2011-02, Vol.24 (2), p.389-429

2011

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Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map

Letters in mathematical physics, 2019-07, Vol.109 (7), p.1611-1623

2019

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Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions

Journal of computational physics, 2021-03, Vol.428, p.109963, Article 109963

2021

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Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects

Nonlinearity, 2020-08, Vol.33 (8), p.3816-3845

2020

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Small data global solutions for the Camassa-Choi equations

Nonlinearity, 2018-05, Vol.31 (5), p.1868-1904

2018

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Uniform Upper Bounds on Courant Sharp Neumann Eigenvalues of Chain Domains

The Journal of geometric analysis, 2024-09, Vol.34 (9), Article 262

2024

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Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

Communications on pure and applied mathematics, 2019-11, Vol.72 (11), p.2449-2484

2019

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Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

Physica. D, 2019-06, Vol.393, p.54-67

2019

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Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule

Journal of nonlinear science, 2022-12, Vol.32 (6), Article 89

2022

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A proximal-gradient algorithm for crystal surface evolution

Numerische Mathematik, 2022-11, Vol.152 (3), p.631-662

2022

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Numerical algorithms for water waves with background flow over obstacles and topography

Advances in computational mathematics, 2022-08, Vol.48 (4), Article 46

2022

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Nodal line estimates for the second Dirichlet eigenfunction

Journal of spectral theory, 2021-01, Vol.11 (1), p.323-353

2021

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Trigonometric integrators for quasilinear wave equations

Mathematics of computation, 2019-03, Vol.88 (316), p.717-749

2019

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The essential spectrum of periodically stationary solutions of the complex Ginzburg–Landau equation

Journal of evolution equations, 2021-09, Vol.21 (3), p.3313-3329

2021

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Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications

Journal of mathematical physics, 2011-01, Vol.52 (1), p.013505-013505-17

2011

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Higher dimensional vortex standing waves for nonlinear Schrödinger equations

Communications in partial differential equations, 2016-03, Vol.41 (3), p.398-446

2016

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Quasilinear Schrödinger equations, II: Small data and cubic nonlinearities

Kyoto journal of mathematics, 2014, Vol.54 (3)

2014

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Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

Nonlinearity, 2010-01, Vol.23 (1), p.89-106

2010

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The radiation field on product cones

Advances in mathematics (New York. 1965), 2022-10, Vol.408, p.108589, Article 108589

2022

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Nonlinear Partial Differential Equations on Graphs

Oberwolfach reports, 2018-04, Vol.14 (2), p.1805-1868

2018

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Pointwise dispersive estimates for Schrödinger operators on product cones

Journal of Differential Equations, 2022-05, Vol.320, p.419-468

2022

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Construction of nonlinear quasimodes near elliptic periodic orbits

Physica. D, 2012-02, Vol.241 (4), p.409-425

2012

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A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations

SIAM journal on mathematical analysis, 2010-01, Vol.42 (3), p.1382-1403

Marzuola, Jeremy L.

2010

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Quasilinear Schrödinger Equations III: Large Data and Short Time

Limiting eigenfunctions of Sturm–Liouville operators subject to a spectral flow

Spectral analysis for matrix Hamiltonian operators

Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map

Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions

Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects

Small data global solutions for the Camassa-Choi equations

Uniform Upper Bounds on Courant Sharp Neumann Eigenvalues of Chain Domains

Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule

A proximal-gradient algorithm for crystal surface evolution

Numerical algorithms for water waves with background flow over obstacles and topography

Nodal line estimates for the second Dirichlet eigenfunction

Trigonometric integrators for quasilinear wave equations

The essential spectrum of periodically stationary solutions of the complex Ginzburg–Landau equation

Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications

Higher dimensional vortex standing waves for nonlinear Schrödinger equations

Quasilinear Schrödinger equations, II: Small data and cubic nonlinearities

Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

The radiation field on product cones

Nonlinear Partial Differential Equations on Graphs

Pointwise dispersive estimates for Schrödinger operators on product cones

Construction of nonlinear quasimodes near elliptic periodic orbits

A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations

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