Publications (53)
Soliton Mobility in Disordered Lattice
Zhi-Yuan Sun, Shmuel Fishman, Avy Soffer
Geometric Characterization of Solitons
Avy Soffer
Numerical implementation of the multiscale and averaging methods for quasi periodic systems
Tal Kachman, Shmuel Fishman, Avy Soffer
A Remark on Long Range Scattering for the nonlinear Klein-Gordon equation
Hans Lindblad, Avy Soffer
The Maximal Velocity of a Photon
Avy Soffer
Global rough solution for $L^2$-critical semilinear heat equation in the negative Sobolev space
Avy Soffer, Yifei Wu, Xiaohua Yao
Dynamics of a Classical Particle in a Quasi Periodic Potential
Yaniv Tenenbaum Katan, Tal Kachman, Shmuel Fishman +1
The Schroedinger Equation with Potential in Rough Motion
Marius Beceanu, Avy Soffer
Abstract theory of decay estimates: perturbed Hamiltonians
Manuel Larenas, Avy Soffer
Multiscale time averaging, Reloaded
Shmuel Fishman, Avy Soffer
A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS
Avy Soffer, Xiaofei Zhao
On the distribution of linear combinations of eigenvalues of the Anderson model
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
Dynamics of Noncommutative Solitons II: Spectral Theory, Dispersive Estimates and Stability
August J. Krueger, Avy Soffer
Dynamics of Noncommutative Solitons I: Spectral Theory and Dispersive Estimates
August J. Krueger, Avy Soffer
On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations
Avy Soffer, Xiaofei Zhao
Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities
Hans Lindblad, Avy Soffer
Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
Emmanuel Grenier, Toan T. Nguyen, Frédéric Rousset +1
The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
The Schroedinger Equation with Potential in Random Motion
Marius Beceanu, Avy Soffer
Dynamics and scattering of a massless particle
Avy Soffer
Perturbation theory for the Nonlinear Schroedinger Equation with a random potential
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
Sergey Nazarenko, Avy Soffer, Minh-Binh Tran
Decay Estimates and Strichartz Estimates of Fourth-order Schrödinger Operator
Hongliang Feng, Avy Soffer, Xiaohua Yao
Abstract theory of pointwise decay with applications to wave and Schrödinger equations
Vladimir Georgescu, Manuel Larenas, Avy Soffer
Endpoint Strichartz Estimates for Charge Transfer Hamiltonians
Qingquan Deng, Avy Soffer, Xiaohua Yao
A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta
Roland Donninger, Wilhelm Schlag, Avy Soffer
Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I
Wilhelm Schlag, Avy Soffer, Wolfgang Staubach
On pointwise decay of linear waves on a Schwarzschild black hole background
Roland Donninger, Wilhelm Schlag, Avy Soffer
A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
Hans Lindblad, Avy Soffer
Modulation equations approach for solving vortex and radiation in nonlinear Schrodinger equation
Avy Soffer, Xiaofei Zhao
A numerical and symbolical approximation of the Nonlinear Anderson Model
Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer
Large Outgoing Solutions to Supercritical Wave Equations
Marius Beceanu, Avy Soffer
Slowly changing potential problems in Quantum Mechanics: Adiabatic Theorems, Ergodic Theorems, and Scattering
Shmuel Fishman, Avy Soffer
Multi-center Vector Field Methods for Wave Equations
Avy Soffer, Jianguo Xiao
Monotonic Local Decay Estimates
Avy Soffer
Scattering and small data completeness for the critical nonlinear Schroediger equation
Hans Lindblad, Avy Soffer
Nonlinear waves in double-stranded DNA
Natalia Komarova, Avy Soffer
Friction in a Model of Hamiltonian Dynamics
Juerg Froehlich, Zhou Gang, Avy Soffer
Mean field dynamics of a quantum tracer particle interacting with a boson gas
Thomas Chen, Avy Soffer
Large Initial Data Global Well-Posedness for a Supercritical Wave Equation
Marius Beceanu, Avy Soffer
Some Hamiltonian Models of Friction
Juerg Froehlich, Zhou Gang, Avy Soffer
Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model
Alexander Rivkind, Yevgeny Krivolapov, Shmuel Fishman +1
Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I
Wilhelm Schlag, Avy Soffer, Wolfgang Staubach
Soliton-potential interactions for nonlinear Schrödinger equation in $\mathbb{R}^3$
Qingquan Deng, Avy Soffer, Xiaohua Yao
Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part II
Wilhelm Schlag, Avy Soffer, Wolfgang Staubach
On coupling kinetic and Schrodinger equations
Avy Soffer, Minh-Binh Tran
A semilinear Schroedinger equation with random potential
Marius Beceanu, Avy Soffer
Structure of Noncommutative Solitons: Existence and Spectral Theory
August J. Krueger, Avy Soffer
On the dynamics of finite temperature trapped Bose gases
Avy Soffer, Minh-Binh Tran
Three-Body Dispersive Scattering
Michael breeling, Avy Soffer
Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases
Marius Beceanu, Qingquan Deng, Avy Soffer +1
Soliton Trapping in Disordered Lattice
Zhi-Yuan Sun, Shmuel Fishman, Avy Soffer
Anderson Localization for Time Periodic Random Schrödinger operators
Avy Soffer, Wei-Min Wang