Evolution equations on non-flat waveguides

DOI10.1007/s00205-012-0524-5zbMath1256.35160arXiv1010.0817OpenAlexW2133935001MaRDI QIDQ2276343

Piero D'Ancona, Reinhard Racke

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0817

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Local energy decay and smoothing effect for the damped Schrödinger equation ⋮ Suitable weak solutions: From compressible viscous to incompressible inviscid fluid flows ⋮ On some singular limits arising in fluid dynamic modelling ⋮ Exponential decay for the Schrödinger equation on a dissipative waveguide ⋮ Kato smoothing and Strichartz estimates for wave equations with magnetic potentials ⋮ Well-posedness and scattering for the mass-energy NLS on \(\mathbb{R}^n\times\mathcal{M}^k\) ⋮ Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials ⋮ Helmholtz and Dispersive Equations with Variable Coefficients on Exterior Domains

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