Regularization of binomial differential equations with singular coefficients
Functional Analysis
2012-02-21 v1
Abstract
We propose a regularization of the formal differential expression of order applying quasi-derivatives. The distribution coefficient is supposed to have an antiderivative . For the symmetric case () self-adjoint and maximal dissipative extensions of the minimal operator and its generalized resolvents are described. The resolvent approximation with resrect to the norm of the considered operators is also investigated. The case for was investigated earlier.
Cite
@article{arxiv.1106.3275,
title = {Regularization of binomial differential equations with singular coefficients},
author = {Andrii Goriunov and Vladimir Mikhailets},
journal= {arXiv preprint arXiv:1106.3275},
year = {2012}
}
Comments
In Russian, 14 pages