@article{Los’_2017, title={Systems parabolic in Petrovskii’s sense in Hörmander spaces}, volume={69}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1702}, abstractNote={We study a general parabolic initial-boundary-value problem for systems parabolic in Petrovskii’s sense with zero initial
Cauchy data in some anisotropic H¨ormander inner-product spaces.We prove that the operators corresponding to this problem
are isomorphisms between the appropriate H¨ormander spaces. As an application of this result, we establish a theorem on
the local increase in regularity of solutions of the problem. We also obtain new sufficient conditions of continuity for the
generalized partial derivatives of a given order of a chosen component of the solution.}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Los’, V. M.}, year={2017}, month={Mar.}, pages={365-380} }