Pseudo-differential operators in vector-valued spaces and applications
Analysis of PDEs
2017-06-06 v1 Functional Analysis
Abstract
Pseudo-differential operator equations with parameter are studied. Uniform separability properties and resolvent estimates are obtained in terms of fractional derivatives. Moreover, maximal regularity properties of the pseudo-differential abstract parabolic equation are established. Particularly, it is proven that the operators generated by these pseudo-differential equations are positive and aso are generators of analytic semigroups. As an application, the anisotropic parameter dependent pseudo-differential equations and the system of pseudo-differential equations are studied
Cite
@article{arxiv.1706.00803,
title = {Pseudo-differential operators in vector-valued spaces and applications},
author = {Veli Shakhmurov},
journal= {arXiv preprint arXiv:1706.00803},
year = {2017}
}