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Seminar on nonlinear problems of partial differential equations and mathematical physics
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Solutions with snaking singularities for the fast diffusion equation M. Fila Comenius University |
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Abstract: 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 |
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