Smoothness of Loewner Slits

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Wong, Chun Wai Carto

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Abstract

In this dissertation, we show that the chordal Loewner differential equation with C^{beta} driving function generates a C^{beta + 1/2} slit for 1/2 < beta <= 2, except when beta = 3/2 the slit is only proved to be weakly C^{1,1}.

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Thesis (Ph.D.)--University of Washington, 2012

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