Diana C. S. Bello

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math-ph2025

Spectrum of the Laplacian in waveguide shaped surfaces

Diana C. S. Bello

Let $- Δ_{S}$ be the Laplace operator in $S \subset R^{3}$ on a waveguide shaped surfaces, i.e., $S$ is built by translating a closed curve in a constant d…

math-ph2025

A note on twisted, straight, and sheared waveguide

Diana C. S. Bello

In this work, we analyze the Dirichlet Laplacian $- Δ_{Ω}^{D}$ in an unbounded waveguide $Ω \subset R^{3}$ , where the cross-section is translated in a constant direction and rotate…