6 papers
Large-Data Global Criteria for Two-Dimensional Critical-Energy Schrödinger Maps
Pang-Hung Chung, Dan Han
We study large-data continuation below the critical energy for the two-dimensional sphere-valued Schrödinger map \[ \partial_t u=u\timesΔu, \qquad u:[0,T_+)\times\mathbb{R}^2\to\ma…
Continuation and threshold global strong solutions for the two-dimensional Landau--Lifshitz--Gilbert equation
Pang-hung Chung, Dan Han
This paper studies finite-terminal continuation and subthreshold global existence for the two-dimensional Landau--Lifshitz--Gilbert equation in the strong-solution class. T…
Scattering Criteria for the Three-Dimensional Focusing Energy-Critical Generalized Hartree Equation
Pang-Hung Chung, Akidul Haque, Dan Han
Two nonradial scattering criteria are established for the three-dimensional focusing energy-critical generalized Hartree equation below the ground-state threshold, under a bounded-…
Finite-mass soliton-type rigidity and four-channel reduction for the three-dimensional nonradial focusing energy-critical nonlinear Schrödinger equation
Pang-Hung Chung, Dan Han
The concentration--compactness channels below the ground-state threshold are investigated for the three-dimensional nonradial focusing energy-critical nonlinear Schrödinger equatio…
Conditional scattering criteria for cylindrical threshold dynamics of the three-dimensional focusing energy-critical Schrödinger equation
Pang-Hung Chung, Dan Han
Below-threshold scattering is studied for the three-dimensional focusing energy-critical Schrödinger equation in the cylindrically symmetric class. For soliton-like compact critica…
Scattering and Low-Speed Critical Elements for the 3D Focusing Energy-Critical NLS
Pang-Hung Chung, Dan Han
The below-threshold scattering problem is considered for the three-dimensional focusing energy-critical nonlinear Schrödinger equation. A main non-radial obstruction is the possibl…