Global-In-Time Solvability of a Cauchy problem for a Nonlinear Composite-Type Thermal-Electrical Model Equation

A Cauchy problem for a model nonlinear evolution equation of high order is considered. Sufficient conditions for the existence and uniqueness of its global-in-time weak solution are obtained. An estimate of solution decay with respect to coordinates and time is derived. © Pleiades Publishing, Ltd. 2025.

Авторы
Номер выпуска
8
Язык
English
Страницы
1823-1847
Статус
Published
Том
65
Год
2025
Организации
  • 1 RUDN University, Moscow, Moscow Oblast, Russian Federation
  • 2 Faculty of Physics, Lomonosov Moscow State University, Moscow, Moscow Oblast, Russian Federation
Ключевые слова
global-in-time solvability; nonlinear composite-type equations; solution estimates
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