L'équation de Helmholtz avec impédance dans un demi-plan

Translated title of the contribution: The Helmholtz equation with impedance in a half-plane

Mario Durán, Ignacio Muga, Jean Claude Nédélec

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


This Note gives answers to the uniqueness and existence questions for solutions of the Helmholtz equation in an half-plane with an impedance or mixed boundary condition. We deal with unbounded domains which boundaries are unbounded too. The radiation conditions are different from the ones that we found in an usual exterior problem due to the appearance of surface waves. We first compute and study the half-plane Green's function to see how the solutions behave at infinity, and second obtain integral representation for these solutions.

Translated title of the contributionThe Helmholtz equation with impedance in a half-plane
Original languageFrench
Pages (from-to)483-488
Number of pages6
JournalComptes Rendus Mathematique
Issue number7
StatePublished - 1 Apr 2005
Externally publishedYes


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