Evolutionary pseudodifferential equations with smooth symbols in the $S$-type spaces

• Date: 2023
• Main Authors: Horodets’kyi, V., Petryshyn, R., Martynyuk, O., Городецький, Василь, Петришин, Роман, Мартинюк, Ольга, Мартинюк, Ольга Василівна
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7443
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.98 We study an evolutionary equation with an operator $\varphi(i \partial /\partial x),$ where $\varphi$ is a smooth function  satisfying certain conditions.  As a special case of this equation, we get a partial differential equation of parabolic type w...