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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…