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...
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| 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
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-025-02022-w |
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