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Dispersion for the wave equation with Robin boundary conditions on a 2D convex model domain

  • Diego Sánchez Sanz
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Abstract

This paper presents a study of dispersion for the two-dimensional Friedlander model with Neumann and Robin boundary conditions, thereby extending previous works treating only Dirichlet boundary conditions. By considering an Airy-type special function, we obtain a parametrix construction similar to the Dirichlet case but with additional terms requiring careful control. By studying the dispersion of this parametrix, we obtain the same dispersive estimates as in previous results for the Dirichlet case, and therefore the same Strichartz estimates.

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Cite

BibTeXRIS
BibTeX
@misc{sanz2026dispersion,
  title = {{Dispersion for the wave equation with Robin boundary conditions on a 2D convex model domain}},
  author = {Diego Sánchez Sanz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06878},
  eprint = {2610.06878},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06878},
}
RIS
TY  - UNPB
TI  - Dispersion for the wave equation with Robin boundary conditions on a 2D convex model domain
AU  - Diego Sánchez Sanz
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.06878
UR  - https://arxiv.org/abs/2610.06878
AB  - This paper presents a study of dispersion for the two-dimensional Friedlander model with Neumann and Robin boundary conditions, thereby extending previous works treating only Dirichlet boundary conditions. By considering an Airy-type special function, we obtain a parametrix construction similar to the Dirichlet case but with additional terms requiring careful control. By studying the dispersion of this parametrix, we obtain the same dispersive estimates as in previous results for the Dirichlet case, and therefore the same Strichartz estimates.
ER  -