Узагальнення формули Троттера–Далецького для систем типу "реакція–дифузія"

• Date: 2021
• Main Authors: Bondarenko, Viktor, Kravchenko, Anna, Sobko, Tetiana
• Format: Article
• Language: Russian
• Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2021
• Subjects: параболічне рівняння; півгрупа операторів; теорія збурень
• Online Access: http://journal.iasa.kpi.ua/article/view/252318
• Journal Title: System research and information technologies

An iterative method for constructing a solution to the Cauchy problem for a system of parabolic equations with a nonlinear potential has been proposed and substantiated. The method is based on the Trotter–Daletsky formula, generalized for a nonlinear perturbation of an elliptic operator. The idea of...