Mixed oblique derivative problem for the Helmholtz equation in a half-disk

DOI10.1134/S0012266118100087zbMath1414.35058OpenAlexW2900838649WikidataQ115250650 ScholiaQ115250650MaRDI QIDQ1734716

Alexei A. Polosin

Publication date: 27 March 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118100087

zbMATH Keywords

Helmholtz equationunique solvabilityhalf-disk

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

Gellerstedt type directional derivative problem for an equation of the mixed type with a spectral parameter

Cites Work

• Oblique derivative problem with variable inclination angle: location of the spectrum and the absence of the basis property of the system of root functions
• Oblique derivative problem for the Helmholtz equation in a disk
• On the location of the spectrum of a mixed boundary value problem in a square
• On the location of the spectrum of a mixed boundary value problem for the Laplace equation in a half-disk
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