4 papers
On unifying Jones representations of braid groups and Thompson's group
Yangxiao Luo, Shunyu Wan
We unify Jones' representations of braid groups and the oriented Thompson's group by introducing the oriented dyadic braid group. This finitely generated group contains every braid…
Large-Data Global Well-Posedness for the Defocusing Cubic Schrödinger Equation in 3D Convex Domains
Len Meas
We establish the global well-posedness for the energy-subcritical defocusing cubic nonlinear Schrödinger equation (NLS) on the three-dimensional Friedlander model domain \( Ω=\{x\i…
Dispersive and Strichartz Estimates for the Schrödinger Equation Inside Cylindrical Domains
Len Meas
Dispersive and Strichartz estimates are fundamental tools for establishing the well-posedness and long-time behavior of solutions to nonlinear partial differential equations. While…
Sharp Dispersive and Strichartz Estimates for the Neumann Cylindrical Wave Model
Len Meas
We establish local-in-time dispersive and sharp Strichartz estimates for the linear wave equation with Neumann boundary conditions inside a cylindrical convex domain $Ω\subset \mat…