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C1 Regularity for Infinity Harmonic Functions in Two Dimensions
Authors:Ovidiu?Savin  author-information"  >  author-information__contact u-icon-before"  >  mailto:osavin@math.berkeley.edu"   title="  osavin@math.berkeley.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Dept. of Mathematics, UC Berkeley, Berkeley, CA, 94720
Abstract:A continuous function MediaObjects/s00205-005-0355-8flb1.gif is said to be ldquoinfinity harmonicrdquo if it satisfies the PDEMediaObjects/s00205-005-0355-8flb2.gifin the viscosity sense. In this paper we prove that infinity harmonic functions are continuously differentiable when n=2.
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