English

The Cauchy problem and Hadamard's example in the ring

Mathematical Physics 2013-07-09 v1 math.MP

Abstract

Integral representation for harmonic function in the ring is constructed in this work. We prove the existence and uniqueness of solutions of the Cauchy problem for the Laplace equation in the ring. Integral representation for the solution of the Cauchy problem was found.

Cite

@article{arxiv.1307.2167,
  title  = {The Cauchy problem and Hadamard's example in the ring},
  author = {O. E. Yaremko},
  journal= {arXiv preprint arXiv:1307.2167},
  year   = {2013}
}

Comments

4 pages

R2 v1 2026-06-22T00:47:38.223Z