Author

Len Meas

4 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Dispersive and Strichartz Estimates for the Schr\"odinger Equation Inside Cylindrical Domains

Dispersive and Strichartz estimates are fundamental tools for establishing the well-posedness and long-time behavior of solutions to nonlinear partial differential equations. While these estimates are well-understood in the boundaryless Euclidean setting, the presence of a geometric boundary introduces severe analytica...

Len Meas · 0 citations

Preprint Sep 2026

Large-Data Global Well-Posedness for the Defocusing Cubic Schr\"odinger Equation in 3D Convex Domains

We establish the global well-posedness for the energy-subcritical defocusing cubic nonlinear Schr\"{o}dinger equation (NLS) on the three-dimensional Friedlander model domain $ \Omega=\{x\in\mathbb{R}:x\geq0\}\times\mathbb{R}^2_{y,z}, $ subject to homogeneous Dirichlet boundary conditions, for arbitrarily large initia...

Len Meas · 0 citations

Preprint Aug 2026

Sharp Dispersive and Strichartz Estimates for the Neumann Cylindrical Wave Model

We establish local-in-time dispersive and sharp Strichartz estimates for the linear wave equation with Neumann boundary conditions inside a cylindrical convex domain $\Omega \subset \mathbb{R}^3$ featuring a non-empty smooth boundary $\partial\Omega$. The cylindrical geometry dictates that the nonnegative radius of cur...

Len Meas · 0 citations

Preprint Oct 2026

Neumann Schr\"odinger Estimates in Cylindrical Domains

We establish sharp local-in-time dispersive estimates and global Strichartz estimates for the semiclassical Schr\"odinger equation in a three-dimensional cylindrical domain $\Omega\subset\mathbb{R}^{3}$ with homogeneous Neumann boundary conditions. The partially flat boundary leads to a degeneracy of curvature in the l...

Len Meas · 0 citations