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Решения с извивающимися сингулярностями для уравнения быстрой диффузии

М. Фила

Comenius University



Аннотация: We construct solutions of the fast diffusion equation which exist for all t real and have a singular set looking like a half-infinite snake moving along a prescribed path with constant speed. We also give a precise description of the behavior of the solutions near the snake.


© МИАН, 2026