Differential operators in exterior domain and application
Analysis of PDEs
2017-06-06 v1 Functional Analysis
Abstract
The abstract elliptic and parabolic equations on exterior domain are considered. The equations have top-order variable coefficients. The separability properties of boundary value problems for elliptic equation and well-posedness of the Cauchy problem for parabolic equations are established. In application, the well-posedness of Wentzell-Robin type mixed probem for parabolic equation, Cauchy problem for anisotropic parabolic equations and system of parabolic equations are derived
Keywords
Cite
@article{arxiv.1706.00811,
title = {Differential operators in exterior domain and application},
author = {Veli Shakhmurov},
journal= {arXiv preprint arXiv:1706.00811},
year = {2017}
}