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PreprintarXiv licencearXiv

On solutions of the modified Helmholtz equation in a planar domain

  • Alexander I. Nazarov
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Abstract

A criterion for the convexity of a two-dimensional domain is proved in terms of the solution of a boundary value problem for the modified Helmholtz equation.

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Cite

BibTeXRIS
BibTeX
@misc{nazarov2026solutions,
  title = {{On solutions of the modified Helmholtz equation in a planar domain}},
  author = {Alexander I. Nazarov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06523},
  eprint = {2609.06523},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06523},
}
RIS
TY  - UNPB
TI  - On solutions of the modified Helmholtz equation in a planar domain
AU  - Alexander I. Nazarov
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06523
UR  - https://arxiv.org/abs/2609.06523
AB  - A criterion for the convexity of a two-dimensional domain is proved in terms of the solution of a boundary value problem for the modified Helmholtz equation.
ER  -