Elliptic equations in a special multidimensional cone with potential operators

Vladimir Vasilyev and Alexander Vasilyev

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: A model elliptic pseudo-differential equation is studied in a special cone in multidimensional space. Using a special factorization of an elliptic symbol the authors obtain a certain representation to the solution. It permits to find conditions to the right hand side so that the solution belongs to certain Sobolev–Slobodetskii space in the cone. Based on these conditions some equations with potential like operators were reduced to a certain system of functional integral equations.

Keywords: Elliptic pseudo-differential equation; Wave factorization; Solvability conditions; Equation with potential operators (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926005564
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:209:y:2026:i:p1:s0960077926005564

DOI: 10.1016/j.chaos.2026.118415

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().