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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 Website: https://teams.microsoft.com/l/meetup-join/19%3ameeting_YzMyMjgxMjktYTY5ZC00M2Y4LWIzYTgtNDVjNTMxZTM1Njhh%40thread.v2/0?context=%7b%22Tid%22%3a%222ae95c20-c675-4c48-88d3-f276b762bf52%22%2c%22Oid%22%3a%2266c4b047-af30-41c8-9097-2039bac83cbc%22%7d |
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