On Some Transformations Associated to a Certain Cone
Analysis of PDEs
2025-12-19 v1 Functional Analysis
Abstract
A model elliptic pseudo-differential equation in -faced cone is studied in Sobolev--Slobodetskii space. The Bochner kernel for such a cone is evaluated and explicit formula for unique solution to the considered equation is presented under certain restrictions on the symbol. Boundary value problem with additional integral condition is considered and unique solvability to the boundary value problem is proved.
Cite
@article{arxiv.2512.16840,
title = {On Some Transformations Associated to a Certain Cone},
author = {Vladimir Vasilyev and Denis Tokarev},
journal= {arXiv preprint arXiv:2512.16840},
year = {2025}
}
Comments
11 pages