Reverse Bubbling and Nonuniqueness in the Harmonic Map Flow
نویسنده
چکیده
In this paper, we construct a new type of singularity which may occur in weak solutions of the harmonic map flow for two-dimensional domains. This " reverse bubbling " singu-larity may occur spontaneously, and enables us to construct solutions to the harmonic map heat equation which differ from the standard Struwe solution, despite agreeing for an arbitrarily long initial time interval.
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تاریخ انتشار 2001