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PreprintCC BY-NC 4.0HAL

Pointwise optimal estimates for bessel functions with explicit wavenumber dependence

  • Mohamed Amara
  • Rabia Djellouli
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Abstract

We establish new pointwise optimal estimates for a class of Bessel functions associated with Helmholtz equations. The estimates are explicit in the wavenumber k and reveal a nontrivial frequency dependence: the corresponding stability constants are not uniform with respect to k. These results may be of independent interest and provide foundational analytical tools for establishing the optimal stability estimates for Neumann scattering problems developed in

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Cite

BibTeXRIS
BibTeX
@misc{amara2026pointwise,
  title = {{Pointwise optimal estimates for bessel functions with explicit wavenumber dependence}},
  author = {Mohamed Amara and Rabia Djellouli},
  howpublished = {HAL},
  year = {2026},
  month = nov,
  url = {https://univ-pau.hal.science/hal-05849561v1},
  note = {CC BY-NC 4.0},
}
RIS
TY  - UNPB
TI  - Pointwise optimal estimates for bessel functions with explicit wavenumber dependence
AU  - Mohamed Amara
AU  - Rabia Djellouli
PY  - 2026
DA  - 2026/11/03
PB  - HAL
UR  - https://univ-pau.hal.science/hal-05849561v1
AB  - We establish new pointwise optimal estimates for a class of Bessel functions associated with Helmholtz equations. The estimates are explicit in the wavenumber k and reveal a nontrivial frequency dependence: the corresponding stability constants are not uniform with respect to k. These results may be of independent interest and provide foundational analytical tools for establishing the optimal stability estimates for Neumann scattering problems developed in
ER  -