Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations.

DOI10.1016/j.crma.2003.09.006zbMath1147.35301OpenAlexW2081456413WikidataQ60502899 ScholiaQ60502899MaRDI QIDQ1420140

Luis Vega, Perthame, Benoît

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.09.006

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

A pseudo-kinetic approach for Helmholtz equation ⋮ Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation ⋮ A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides

Cites Work

• Unnamed Item
• Small solutions to nonlinear Schrödinger equations
• High frequency limit of the Helmholtz equations.
• Schrödinger operators with a nonspherical radiation condition
• Asymptotic properties of solutions of differential equations with simple characteristics
• Morrey-Campanato estimates for Helmholtz equations
• Sommerfeld condition for a Liouville equation and concentration of trajectories
• Generalized Fourier transform for Schrödinger operators with potentials of order zero
• Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
• Spectral and Scattering Theory for Schrodinger Operators with Potentials Independent of | x |
• On transmission problems for wave propagation in two locally perturbed half-spaces
• Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media

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