Smoothness of Generalized Solutions of the Dirichlet Problem for Strongly Elliptic Functional Differential Equations with Orthotropic Contractions
- Authors: Tasevich A.L.1
-
Affiliations:
- RUDN University
- Issue: Vol 233, No 4 (2018)
- Pages: 541-554
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241583
- DOI: https://doi.org/10.1007/s10958-018-3942-6
- ID: 241583
Cite item
Abstract
In the disk, we consider the first boundary-value problem for a functional differential equation containing transformations of orthotropic contractions of independent variables of the unknown function. We study the smoothness of generalized solutions inside special-type subdomains and near their boundaries and pose strong ellipticity conditions.
About the authors
A. L. Tasevich
RUDN University
Author for correspondence.
Email: atasevich@gmail.com
Russian Federation, Moscow