| Publication | Date of Publication | Type |
|---|
| An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs | 2024-04-03 | Paper |
| Damping for fractional wave equations and applications to water waves | 2023-08-18 | Paper |
| Eigenvalue spacing for 1D singular Schrödinger operators | 2023-06-26 | Paper |
| Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains | 2023-05-25 | Paper |
| Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion | 2022-11-17 | Paper |
| A proximal-gradient algorithm for crystal surface evolution | 2022-11-15 | Paper |
| Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs | 2022-10-18 | Paper |
| A local test for global extrema in the dispersion relation of a periodic graph | 2022-10-18 | Paper |
| Symmetry breaking and the generation of spin ordered magnetic states in density functional theory due to Dirac exchange for a hydrogen molecule | 2022-10-10 | Paper |
| The radiation field on product cones | 2022-09-15 | Paper |
| Stability of spectral partitions and the Dirichlet-to-Neumann map | 2022-09-14 | Paper |
| Numerical algorithms for water waves with background flow over obstacles and topography | 2022-07-20 | Paper |
| Price's law on Minkowski space in the presence of an inverse square potential | 2022-07-13 | Paper |
| Nodal Set Openings on Perturbed Rectangular Domains | 2022-04-25 | Paper |
| Quadrature by two expansions: evaluating Laplace layer potentials using complex polynomial and plane wave expansions | 2022-04-21 | Paper |
| Pointwise dispersive estimates for Schrödinger operators on product cones | 2022-03-23 | Paper |
| On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube | 2022-03-16 | Paper |
| Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with metropolis-type transition rates | 2022-03-03 | Paper |
| On the behavior of 1-Laplacian ratio cuts on nearly rectangular domains | 2022-02-22 | Paper |
| Defect Resonances of Truncated Crystal Structures | 2022-01-31 | Paper |
| Quasilinear Schrödinger equations. III: Large data and short time. | 2022-01-12 | Paper |
| The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation | 2022-01-03 | Paper |
| Limiting behaviors of high dimensional stochastic spin ensembles | 2021-12-08 | Paper |
| Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow | 2021-09-30 | Paper |
| Edge-localized states on quantum graphs in the limit of large mass | 2021-08-18 | Paper |
| Nodal line estimates for the second Dirichlet eigenfunction | 2021-08-03 | Paper |
| A Metric on Directed Graphs and Markov Chains Based on Hitting Probabilities | 2021-07-06 | Paper |
| Erratum to: ``The profile decomposition for the hyperbolic Schrödinger equation | 2021-07-05 | Paper |
| Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries | 2021-04-27 | Paper |
| Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model | 2021-01-12 | Paper |
| ERRATUM: Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators | 2020-12-03 | Paper |
| Non-local SPDE limits of spatially-correlated-noise driven spin systems derived to sample a canonical distribution | 2020-07-27 | Paper |
| A Proximal-Gradient Algorithm for Crystal Surface Evolution | 2020-06-22 | Paper |
| Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects | 2020-06-11 | Paper |
| Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion | 2019-12-05 | Paper |
| Compactons and their variational properties for degenerate KdV and NLS in dimension 1 | 2019-11-26 | Paper |
| Existence and Stability of Schrödinger Solitons on Noncompact Manifolds | 2019-09-27 | Paper |
| Locating resonances on hyperbolic cones | 2019-09-13 | Paper |
| Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map | 2019-07-01 | Paper |
| Traveling waves for a model of gravity-driven film flows in cylindrical domains | 2019-06-28 | Paper |
| Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions | 2019-06-28 | Paper |
| The profile decomposition for the hyperbolic Schrödinger equation | 2019-03-15 | Paper |
| Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators | 2019-03-11 | Paper |
| A symplectic perspective on constrained eigenvalue problems | 2019-01-22 | Paper |
| Trigonometric integrators for quasilinear wave equations | 2018-12-05 | Paper |
| \(L^p\)-bounds on spectral clusters associated to polygonal domains | 2018-10-26 | Paper |
| Small data global solutions for the Camassa–Choi equations | 2018-06-28 | Paper |
| Manifold decompositions and indices of Schr\\\"{o}dinger operators | 2017-12-29 | Paper |
| Spectrally optimized pointset configurations | 2017-09-15 | Paper |
| Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities | 2017-03-09 | Paper |
| Nonlinear Bound States in a Schrödinger--Poisson System with External Potential | 2017-02-07 | Paper |
| An isoperimetric inequality for an integral operator on flat tori | 2016-10-19 | Paper |
| Strichartz Estimates on Exterior Polygonal Domains | 2016-10-13 | Paper |
| On discrete rarefaction waves in an NLS toy model for weak turbulence | 2016-09-27 | Paper |
| Higher dimensional vortex standing waves for nonlinear Schrödinger equations | 2016-06-03 | Paper |
| Ground State on the Dumbbell Graph | 2016-04-15 | Paper |
| Dispersive estimates for scalar and matrix Schrödinger operators on \(\mathbb H^{n+1}\) | 2016-03-09 | Paper |
| Existence and Stability Properties of Radial Bound States for Schr\"odinger-Poisson with an External Coulomb Potential in Three Space Dimensions | 2015-12-11 | Paper |
| The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus | 2015-12-09 | Paper |
| A Morse Index Theorem for Elliptic Operators on Bounded Domains | 2015-10-23 | Paper |
| Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics | 2015-10-08 | Paper |
| Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications | 2015-06-22 | Paper |
| Strichartz Estimates for the Wave Equation on Flat Cones | 2015-05-19 | Paper |
| Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities | 2015-02-26 | Paper |
| Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation | 2014-12-08 | Paper |
| Nonlinear Bound States on Weakly Homogeneous Spaces | 2014-05-02 | Paper |
| On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions | 2014-01-28 | Paper |
| Behavior of a Model Dynamical System with Applications to Weak Turbulence | 2013-11-11 | Paper |
| Small data scattering and soliton stability in \(\dot{H}^{-1/6}\) for the quartic KdV equation | 2013-05-24 | Paper |
| Nonconcentration in partially rectangular billiards | 2013-05-24 | Paper |
| The relaxation of a family of broken bond crystal surface models | 2013-04-11 | Paper |
| On the regularity of the flow map for the gravity-capillary equations | 2013-03-01 | Paper |
| Strichartz estimates for the Schrödinger equation on~polygonal domains | 2012-12-04 | Paper |
| Quasilinear Schrödinger equations. I: Small data and quadratic interactions | 2012-09-19 | Paper |
| Construction of nonlinear quasimodes near elliptic periodic orbits | 2012-04-19 | Paper |
| Dispersive estimates using scattering theory for matrix Hamiltonian equations | 2011-08-10 | Paper |
| A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations | 2011-04-08 | Paper |
| Spectral analysis for matrix Hamiltonian operators | 2011-03-04 | Paper |
| A system of ODEs for a perturbation of a minimal mass soliton | 2011-01-19 | Paper |
| Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations | 2010-10-15 | Paper |
| Counting numerical sets with no small atoms | 2010-08-11 | Paper |
| Strichartz estimates on Schwarzschild black hole backgrounds | 2010-07-02 | Paper |
| Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space | 2010-01-26 | Paper |
| Eigenfunction Concentration for Polygonal Billiards | 2009-07-16 | Paper |
| Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations | 2008-11-12 | Paper |
| Wave packet parametrices for evolutions governed by pdo's with rough symbols | 2007-12-20 | Paper |
| Fast soliton scattering by delta impurities | 2007-11-14 | Paper |
| Soliton splitting by external delta potentials | 2007-09-10 | Paper |
| Eigenfunctions for Partially Rectangular Billiards | 2006-07-13 | Paper |
