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Title:
Global well-posedness and scattering for the radially symmetric cubic wave equation with a critical Sobolev norm
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Abstract:
In this talk we discuss the cubic wave equation in three dimensions. In three dimensions the critical Sobolev exponent is 1/2. There is no known conserved quantity that controls this norm. We prove unconditional global well-posedness for radial initial data in the critical Sobolev space.
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