Estimation of the fundamental solution of a new class for non-Archimedean pseudodifferential equations

• Datum: 2025
• Hauptverfasser: Serdiuk, M., Сердюк, Марія
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8687
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We investigate the equation with the Vladimirov–Taibleson pseudodifferential operator for functions with $p$-adic time and space variables, which generalizes the $p$-adic wave equation in the cases where the orders of the time and space derivatives do not coincide. We prove th...