Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data

Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data

Abstract In the present work, we solve the Dirichlet boundary problem for the Helmholtz equation in an exterior angle with periodic boundary data. We prove the existence and uniqueness of solution in an appropriate functional class and give an explicit formula for it in the form of the Sommerfeld in...

Full description

Bibliographic Details
Main Authors: A. Merzon, P. Zhevandrov, M. I. Romero Rodríguez, J. E. De la Paz Méndez
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Boundary Value Problems
Subjects:
Helmholtz equation
Nonconvex angles
Periodic boundary conditions
Online Access:https://doi.org/10.1186/s13661-025-02022-w

Internet

https://doi.org/10.1186/s13661-025-02022-w

Similar Items