English

Nonlocal problems for elliptic equations in dihedral angles and the Green formula

Analysis of PDEs 2014-04-17 v1

Abstract

Nonlocal problems for higher-order elliptic operators in dihedral and plane angles are considered. The Green formula is obtained, which leads to adjoint problems that take the form of nonlocal transmission problems in dihedral and plane angles. This allows us to establish necessary conditions of Fredholm solvability and sufficient conditions of one-valued solvability for nonlocal problems in dihedral angles.

Keywords

Cite

@article{arxiv.1404.4203,
  title  = {Nonlocal problems for elliptic equations in dihedral angles and the Green formula},
  author = {Pavel Gurevich},
  journal= {arXiv preprint arXiv:1404.4203},
  year   = {2014}
}

Comments

59 pages

R2 v1 2026-06-22T03:52:08.667Z