Systems parabolic in Petrovskii's sense in Hörmander spaces

• Date: 2017
• Main Authors: Los’, V. M., Лось, В. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1702
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 spac...